prof. dr hab. Grzegorz Lewicki

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Matematyki
  • Katedra Teorii Aproksymacji

Publikacje:

85.
Beata Deręgowska, Barbara Lewandowska, Grzegorz Lewicki
Minimal projections onto subspaces generated by sign-matrices, Journal of Approximation Theory vol. 304 (2024), 22
84.
Tomasz Kobos, Grzegorz Lewicki
On the dimension of the set of minimal projections, Journal of Mathematical Analysis and Applications vol. 529 (2024),
83.
Grzegorz Lewicki, Maciej Ciesielski
Some remarks on contractive and existence sets, Monatshefte für Mathematik vol. 200,1 (2023), 1–21
82.
Tomasz Kania, Grzegorz Lewicki
A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective—the case λ∈(1,2], Studia Mathematica vol. 268 (2023), 311-317
81.
Grzegorz Lewicki, Michael Prophet
Codimension 1 minimal projections onto the lines in L^p, Journal of Approximation Theory vol. 283 (2022), 16
80.
Leokadia Białas-Cież, Grzegorz Lewicki, Tomasz Kobos
Podstawy teorii aproksymacji w zadaniach, PWN, 2022
79.
Grzegorz Lewicki, Michael Prophet
The Chalmers-Metcalf operator and minimal extensions, Journal of Functional Analysis vol. 280 (2021), 108800
78.
Grzegorz Lewicki, Michael Prophet
A note on the existence of two-dimensional symmetric subspaces of L^p[-1,1], Real Analysis Exchange vol. 45,2 (2020), 465-480
77.
Maciej Ciesielski, Grzegorz Lewicki
Sequence Lorentz Spaces and their geometric properties, Journal of Geometric Analysis vol. 29,3 (2019), 1929 - 1952
76.
Maciej Ciesielski, Grzegorz Lewicki
On certain class of norms in semimodular spaces and their monotonicity properties, Journal of Mathematical Analysis and Applications vol. 475 (2019), 490 - 518
75.
Alberto Castejon, Grzegorz Lewicki, M. Martin
Some results on absolute projection constant, Numerical Functional Analysis and Optimization vol. 40,1 (2019), 34 - 51
74.
Maciej Ciesielski, Grzegorz Lewicki
Best approximation properties in spaces of measurable functions, Mathematische Nachrichten vol. 291,4 (2018), 610 - 631
73.
Maciej Ciesielski, Grzegorz Lewicki
On approximation properties of l_1-type spaces, Banach Journal of Mathematical Analysis vol. (12,4) (2018), 935 - 954
72.
Maciej Ciesielski, Grzegorz Lewicki
Uniform K-monotonicity and K-order continuity in symmetric spaces with applications to approximation theory, Journal of Mathematical Analysis and Applications vol. 456,2 (2017), 705 - 730
71.
Grzegorz Lewicki, Mieczyslaw Mastylo
Asymptotic behaviour of factorization and projection constants, Journal of Geometric Analysis vol. 27 (2017), 335-365
70.
Diana Caponetti , Grzegorz Lewicki
A note on the admissiblity of modular function spaces, Journal of Mathematical Analysis and Applications vol. 448 (2017), 1331-1342
69.
Asuman G. Aksoy, Grzegorz Lewicki
Characterization conditions and the numerical index, Contemporary Mathematics vol. 672 (2016), 17-31
68.
Asuman G. Aksoy, Grzegorz Lewicki
Minimal Projections with Respect to Numerical Radius, (2016), "Trends in Mathematics", Springer
67.
Asuman G. Aksoy, Grzegorz Lewicki
In Memoriam: Bruce L. Chalmers (1938 - 2015), Journal of Approximation Theory vol. 208 (2016), 1 -8
66.
Asuman G. Aksoy, Grzegorz Lewicki
Bernstein's Lethtargy Theorem in Frechet spaces, Journal of Approximation Theory vol. 209 (2016), 58-77
65.
Grzegorz Lewicki, Leslaw Skrzypek
Minimal projections onto hyperplanes in l_p^n, Journal of Approximation Theory vol. 202 (2016), 42-63
64.
Yunan Cui, Henryk Hudzik, Grzegorz Lewicki
Order asymptotically isometric copies of c_o in the subspaces of order continuous elements in Orlicz Spaces, Journal of Convex Analysis vol. 21, (3) (2014), 663-680
63.
Alberto Castejon, Grzegorz Lewicki
Subspaces od codimension two with large projection constants, Journal of Mathematical Analysis and Applications vol. 420, no. 2 (2014), 1391-1407
62.
Grzegorz Lewicki
Asymptotic estimate of absolute projection constants, Universitatis Iagellonicae Acta Mathematica vol. 51 (2013), 51-60
61.
A. Trombetta, D. Caponetti, G. Trombetta, Grzegorz Lewicki
On the admissibility of the space $ L_o(A,X)$ of vector-valued measurable functions, Bulletin of the Korean Mathematical Society vol. 50, (2013) (2013), 1915-1922
60.
Grzegorz Lewicki, Agnieszka Micek
Uniqueness of minimal Fourier-type extensions in $L_1$-spaces, Monatshefte für Mathematik vol. 170 (2013), 161-178
59.
Asuman G. Aksoy, Grzegorz Lewicki
Limit theorems for numerical index, Journal of Mathematical Analysis and Applications vol. 398 (2013), 296-302
58.
Asuman G. Aksoy, Grzegorz Lewicki
Minimal projections with respect to the various norms, Studia Mathematica vol. 210(1) (2012), 1 - 16
57.
Grzegorz Lewicki, Agnieszka Micek
Codimension-one minimal extensions onto Haar subspaces, Journal of Approximation Theory vol. 164 (2012), 1461 - 1471
56.
Asuman G. Aksoy, Grzegorz Lewicki
Best approximation in numerical radius, Numerical Functional Analysis and Optimization vol. 32(6) (2011), 593-609
55.
Bruce Chalmers, Grzegorz Lewicki
A proof of the Grunbaum conjecture, Studia Mathematica vol. 200 (2) (2010), 103-129
54.
Grzegorz Lewicki, Agnieszka Micek
Equality of two strongly unique minimal projection constants, Journal of Approximation Theory vol. 162 (2010), 2278-2289
53.
Grzegorz Lewicki, Michael Prophet
Minimal shape-preserving projections in tensor product spaces, Journal of Approximation Theory vol. 162 (2010), 931-951
52.
Daria Bugajewska, Dariusz Bugajewski, Grzegorz Lewicki
On nonlinear integral equations in the spaces of functions of bounded generalized phi-variation, Journal of Integral Equations and Applications vol. 21(1) (2009), 1 -20
51.
Grzegorz Lewicki, Giuseppe Marino
On some algorithms in Banach spaces finding fixed points of non-linear mappings, Nonlinear Analysis, Theory, Methods and Applications (2009), 3964-3972
50.
Anna Kaminska, Han, Yu Lee, A.Kaminska,H.J.Lee
Extreme and smooth points in Lorentz and Marcinkiewicz spaces with applications to contractive projections, Rocky Mountain Journal of Mathematics vol. 39(5) (2009), 1533-1572
49.
Bruce Chalmers, Grzegorz Lewicki, B.L.Chalmers
Three-dimensional subspace of $ l_{infty}^{(5)}$ with maximal projection constant, Journal of Functional Analysis vol. 257 (2009), 553-592
48.
Grzegorz Lewicki, Giulio Trombetta
Optimal and one-complemented subspaces, Monatshefte für Mathematik vol. 153 (2008), 115-132
47.
Grzegorz Lewicki, M.Prophet
Minimal multi-convex projections, Studia Mathematica (2007),
46.
Grzegorz Lewicki, L.Skrzypek
Chalmers-Metcalf operator and uniqueness of minimal projections, Journal of Approximation Theory (2007), 71-91
45.
Grzegorz Lewicki, M.Prophet
Minimal shape-preserving projections onto $Pi_n$: generaralizations and extensions, Numerical Functional Analysis and Optimization (2006), 847-873
44.
Henryk Hudzik, Grzegorz Lewicki, W.Kowalewski
Approximative compactness and full rotundity in Musielak-Orlicz spaces and Orlicz-Lorentz spaces, Zeitschrift für Analysis und ihre Anwendung (2006), 163 - 192
43.
Grzegorz Lewicki, A.Kamińska
Contractive and optimal sets in modular spaces, Mathematische Nachrichten (2004), 74-95
42.
Grzegorz Lewicki, G.Marino
Approximation of functions of finite variation by superpositions of a sigmoidal function, APPL. MATH. LETT. 17 (2004), 1147--1152
41.
Grzegorz Lewicki, J.E.Jamison,A.Kamińska
One-complemented subspaces of Musielak-Orlicz sequence spaces, Journal of Approximation Theory (2004), 1-37
40.
Grzegorz Lewicki, M.Prophet
Codimension-one minimal projections onto Haar subspace, Journal of Approximation Theory (2004), 198-206
39.
Grzegorz Lewicki, G.Trombetta
Almost contractive retractions in Orlicz spaces, BULL. AUSTRAL. MATH. SOC. 68 (2003), 353--369
38.
Grzegorz Lewicki, B.L.Chalmers
Symmetric spaces with maximal projection constants, J. FUNCT. ANAL. 200 (2003), no. 1, 1--22
37.
Grzegorz Lewicki, G.Marino
Approximation by superpositions of a sigmoidal function, Z. ANAL. ANWENDUNGEN 22 (2003), no. 2, 463--470
36.
Grzegorz Lewicki, G.Marino,E.DePascale
Some conditions for compactness in $BC(Q)$ and their application to boundary value problems, ANALYSIS (MUNICH) 22 (2002), no. 1, 21--32
35.
Grzegorz Lewicki, D.Caponetti,G.Trombetta
Control functions and total boundedness in the space $Lsb 0$, NOVI SAD J. MATH. 32 (2002), no. 2, 109--123
34.
Grzegorz Lewicki, B.L.Chalmers
Two-dimensional real symmetric spaces with maximal projection constant, ANN. POLON. MATH. 73 (2000), no. 2, 119--134
33.
Grzegorz Lewicki, G.Marino,P.Pietramala
Fourier-type minimal extensions in real $Lsb 1$-space, ROCKY MOUNTAIN J. MATH. 30 (2000), no. 3, 1025--1037
32.
Grzegorz Lewicki
On minimal projections in $lsb inftysp {(n)}$, MONATSH. MATH. 129 (2000), no. 2, 119--131
31.
Grzegorz Lewicki, B.L.Chalmers
Symmetric subspaces of l1 with large projection constants, STUDIA MATH. 134 (1999), no. 2, 119--133
30.
Grzegorz Lewicki, G.Isac
On the property of four elements in modular spaces, ACTA MATH. HUNGAR. 83 (1999), no. 4, 293--301
29.
Grzegorz Lewicki
Minimal extensions in tensor product spaces, J. APPROX. THEORY 97 (1999), no. 2, 366--383
28.
Grzegorz Lewicki, G.Marino,P.Pietramala
Finite chainability, locally Lipschitzian and uniformly continuous functions, Z. ANAL. ANWENDUNGEN 17 (1998), no. 4, 795--803
27.
Grzegorz Lewicki, B.L.Chalmers
Minimal projections onto some subspaces of $lsp {(n)}sb 1$, DEDICATED TO JULIAN MUSIELAK. FUNCT. APPROX. COMMENT. MATH. 26 (1998), 85--92
26.
Grzegorz Lewicki, A.G.Aksoy
Diagonal operators, s-numbers and Bernstein pairs, PROCEEDINGS OF THE SECOND INTERNATIONAL WORKSHOP ON FUNCTIONAL ANALYSIS (TRIER, 1997). Note Mat. 17 (1997), 209--216 (1999)
25.
Grzegorz Lewicki
A characterization of Orlicz spaces isometric to Lp-spaces, FOURTH INTERNATIONAL CONFERENCE ON FUNCTION SPACES (ZIELONA GÓRA, 1995). Collect. Math. 48 (1997), no. 4-6, 663--671
24.
Grzegorz Lewicki
On the uniqueness of minimal projections in spaces of the James type, DEDICATED TO ROMAN TABERSKI ON THE OCCASION OF HIS 70th birthday. Funct. Approx. Comment. Math. 25 (1997), 59--65
23.
Grzegorz Lewicki
Minimal projections onto two-dimensional subspaces of $lsp {(4)}sb infty$, J. APPROX. THEORY 88 (1997), no. 1, 92--108
22.
Grzegorz Lewicki, M.Baronti,V.Fragnelli
Extensions of linear operators from hyperplanes of $lsp {(n)}sb infty$, COMMENT. MATH. UNIV. CAROLIN. 36 (1995), no. 3, 443--458
21.
Grzegorz Lewicki
Best approximation in finite-dimensional subspaces of ${mathcal L}(W,V)$, J. APPROX. THEORY 81 (1995), no. 2, 151--165
20.
Grzegorz Lewicki
On a new proof of Durier's theorem, FIRST INTERNATIONAL CONFERENCE IN ABSTRACT ALGEBRA (KRUGER PARK, 1993). Quaestiones Math. 18 (1995), no. 1-3, 287--294
19.
Grzegorz Lewicki
Best approximation in spaces of bounded linear operators, DISSERTATIONES MATH. (ROZPRAWY MAT.) 330 (1994), 103 pp
18.
Grzegorz Lewicki, M.Baronti
On some constants in Banach spaces, ARCH. MATH. (BASEL) 62 (1994), no. 5, 438--444
17.
Grzegorz Lewicki, M.Baronti
Strongly unique minimal projections on hyperplanes, J. APPROX. THEORY 78 (1994), no. 1, 1--18
16.
Grzegorz Lewicki
Minimal projections onto subspaces of $lsp {(n)}sb infty$ of codimension two, THIRD INTERNATIONAL CONFERENCE "FUNCTION SPACES" (POZNAN, 1992). Collect. Math. 44 (1993), no. 1-3, 167--179
15.
Grzegorz Lewicki
Strong unicity criterion in some space of operators, COMMENT. MATH. UNIV. CAROLIN. 34 (1993), no. 1, 81--87
14.
Grzegorz Lewicki
Bernstein's "lethargy" theorem in metrizable topological linear spaces, MONATSH. MATH. 113 (1992), no. 3, 213--226
13.
Grzegorz Lewicki
Kolmogorov's type criteria for spaces of compact operators, J. APPROX. THEORY 64 (1991), no. 2, 181--202
12.
Grzegorz Lewicki, S.J.Kilmer,W.M.Kozłowski
Sigma order continuity and best approximation in $Lsb ho$-spaces, COMMENT. MATH. UNIV. CAROLIN. 32 (1991), no. 2, 241--250
11.
Grzegorz Lewicki, M.Flasinski
The convergent method of constructing polynomial discriminant functions for pattern recognition, PATTERN RECOGNITION 24 (1991), no. 10, 1009--1015
10.
Grzegorz Lewicki, S.J.Kilmer,W.M.Kozłowski
Best approximants in modular function spaces, J. APPROX. THEORY 63 (1990), no. 3, 338--367
9.
Grzegorz Lewicki, W.M.Kozlowski
Analyticity and polynomial approximation in modular function spaces, J. APPROX. THEORY 58 (1989), no. 1, 15--35
8.
Grzegorz Lewicki
A theorem of Bernstein's type for linear projections, UNIV. IAGEL. ACTA MATH. no. 27 (1988), 23--27
7.
Diana Caponetti , Grzegorz Lewicki
A note on the admissiblity of modular function spaces, Journal of Mathematical Analysis and Applications vol. 448 (), 1331-1342
6.
Grzegorz Lewicki, L.Skrzypek
On properties of the Chalmers-metcalf operator, BANACH SPACES AND THEIR APPLICATIONS IN ANALYSIS 375 - 389, Walter de Gruyter, Berlin, 2007
5.
Grzegorz Lewicki
On the unique minimality of the Fourier-type extensions in $Lsb 1$-space, FUNCTION SPACES (POZNAN, 1998), 337--345, Lecture Notes in Pure and Appl. Math., 213, Dekker, New York, 2000
4.
Grzegorz Lewicki, A.G.Aksoy
Modular spaces and K-widths, FUNCTIONAL ANALYSIS (TRIER, 1994), 1--10, de Gruyter, Berlin, 1996
3.
Grzegorz Lewicki, W.Odyniec
Minimal projections in Banach spaces, PROBLEMS OF EXISTENCE AND UNIQUENESS AND THEIR APPLICATION. LECTURE NOTES IN MATHEMATICS, 1449. Springer-Verlag, Berlin, 1990. viii+168 pp
2.
Grzegorz Lewicki
On a theorem of S, N. BERNSTEIN AND ITS APPLICATION IN MODULAR FUNCTION SPACES. FUNCTION SPACES (POZNAN, 1986), 69--74, Teubner-Texte Math., 103, Teubner, Leipzig, 1988
1.
Grzegorz Lewicki, W.M.Kozłowski
On polynomial approximation in modular function spaces, FUNCTION SPACES (POZNAN, 1986), 63--68, Teubner-Texte Math., 103, Teubner, Leipzig, 1988

Konferencje organizowane:

1.
Grzegorz Lewicki.
Function Spaces XI, Zielona Gora, 2015-07-06, 2015-07-10

Doktoranci (po 27 października 2003 roku)

DoktorantOtwarcieZakonczenie
Agnieszka Micek2010-05-272013-03-28
Katarzyna Wąsik2011-09-29 
Krzysztof Wesołowski2010-05-272015-03-26
Filip Sokołowski2012-06-282015-02-26
Beata Deręgowska2013-06-272015-11-26
Barbara Lewandowska2013-06-272015-11-26
Tomasz Kobos2014-05-292016-06-30
Dominik Mielczarek2007-01-252009-09-24
Anna Denkowska2005-06-232008-06-26
Agnieszka Lipieta2001-06-282004-01-08
Joanna Kowynia2007-03-29 
Michał Kozdęba2018-06-282021-05-27

Recenzje (po 27 października 2003 roku)

RecenzowanyJednostkaTreść recenzji
Doktorat: Tomasz Zając 
Doktorat: Marcin Ziomek 
Habilitacja: Anna Pelczar-BarwaczKatedra Analizy Funkcjonalnej 
Doktorat: Joanna GarbulińskaZakład Historii Matematyki 

Granty (realizowane po maju 2009 roku)

Nagrody

RokRodzajRodzaj uhonorowanej działalnościTyp 
2017nagrodawybitny dorobek naukowy lub artystycznykrajowaSzczegóły