prof. dr hab. Grzegorz Lewicki
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Matematyki
- Katedra Teorii Aproksymacji
Publikacje:
77.
Sequence Lorentz Spaces and their geometric properties, J GEOM ANAL vol. 29,3 (2019), 1929 - 1952
76.
75.
Some results on absolute projection constant, NUMER FUNC ANAL OPT vol. 40,1 (2019), 34 - 51
74.
Best approximation properties in spaces of measurable functions, MATH NACHR vol. 291,4 (2018), 610 - 631
73.
On approximation properties of l_1-type spaces, BANACH J MATH ANAL vol. (12,4) (2018), 935 - 954
72.
71.
Asymptotic behaviour of factorization and projection constants, J GEOM ANAL vol. 27 (2017), 335-365
70.
A note on the admissiblity of modular function spaces, J MATH ANAL APPL vol. 448 (2017), 1331-1342
69.
Characterization conditions and the numerical index, CONTEMPORARY MATHEMATICS vol. 672 (2016), 17-31
68.
Minimal Projections with Respect to Numerical Radius, (2016), "Trends in Mathematics", Springer
67.
In Memoriam: Bruce L. Chalmers (1938 - 2015), J APPROX THEORY vol. 208 (2016), 1 -8
66.
Bernstein's Lethtargy Theorem in Frechet spaces, J APPROX THEORY vol. 209 (2016), 58-77
65.
Minimal projections onto hyperplanes in l_p^n, J APPROX THEORY vol. 202 (2016), 42-63
64.
63.
Subspaces od codimension two with large projection constants, J MATH ANAL APPL vol. 420, no. 2 (2014), 1391-1407
62.
Asymptotic estimate of absolute projection constants, UNIVERSITATIS IAGELLONICAE ACTA MATHEMATICA vol. 51 (2013), 51-60
61.
On the admissibility of the space $ L_o(A,X)$ of vector-valued measurable functions, B KOREAN MATH SOC vol. 50, (2013) (2013), 1915-1922
60.
Uniqueness of minimal Fourier-type extensions in $L_1$-spaces, MONATSH MATH vol. 170 (2013), 161-178
59.
Limit theorems for numerical index, J MATH ANAL APPL vol. 398 (2013), 296-302
58.
Minimal projections with respect to the various norms, STUD MATH vol. 210(1) (2012), 1 - 16
57.
Codimension-one minimal extensions onto Haar subspaces, J APPROX THEORY vol. 164 (2012), 1461 - 1471
56.
Best approximation in numerical radius, NUMER FUNC ANAL OPT vol. 32(6) (2011), 593-609
55.
A proof of the Grunbaum conjecture, STUD MATH vol. 200 (2) (2010), 103-129
54.
Equality of two strongly unique minimal projection constants, J APPROX THEORY vol. 162 (2010), 2278-2289
53.
Minimal shape-preserving projections in tensor product spaces, J APPROX THEORY vol. 162 (2010), 931-951
52.
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.
50.
Extreme and smooth points in Lorentz and Marcinkiewicz spaces with applications to contractive projections, ROCKY MT J MATH 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, J FUNCT ANAL vol. 257 (2009), 553-592
48.
Optimal and one-complemented subspaces, MONATSH MATH vol. 153 (2008), 115-132
47.
Grzegorz Lewicki, M.Prophet
46.
Grzegorz Lewicki, L.Skrzypek
45.
Grzegorz Lewicki, M.Prophet
44.
Henryk Hudzik, Grzegorz Lewicki, W.Kowalewski
43.
Grzegorz Lewicki, A.Kamińska
Contractive and optimal sets in modular spaces, MATH NACHR (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
40.
Grzegorz Lewicki, M.Prophet
Codimension-one minimal projections onto Haar subspace, J APPROX 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.
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.
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.
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.
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.
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.
Best approximation in finite-dimensional subspaces of ${mathcal L}(W,V)$, J. APPROX. THEORY 81 (1995), no. 2, 151--165
20.
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.
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.
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.
Strong unicity criterion in some space of operators, COMMENT. MATH. UNIV. CAROLIN. 34 (1993), no. 1, 81--87
14.
Bernstein's "lethargy" theorem in metrizable topological linear spaces, MONATSH. MATH. 113 (1992), no. 3, 213--226
13.
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.
A theorem of Bernstein's type for linear projections, UNIV. IAGEL. ACTA MATH. no. 27 (1988), 23--27
7.
A note on the admissiblity of modular function spaces, J MATH ANAL APPL 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.
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.
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.
Function Spaces XI, Zielona Gora, 2015-07-06, 2015-07-10
Doktoranci (po 27 października 2003 roku)
| Doktorant | Otwarcie | Zakonczenie |
|---|---|---|
| Agnieszka Micek | 2010-05-27 | 2013-03-28 |
| Katarzyna Wąsik | 2011-09-29 | |
| Dominik Mielczarek | 2007-01-25 | 2009-09-24 |
| Anna Denkowska | 2005-06-23 | 2008-06-26 |
| Agnieszka Lipieta | 2001-06-28 | 2004-01-08 |
| Krzysztof Wesołowski | 2010-05-27 | 2015-03-26 |
| Joanna Kowynia | 2007-03-29 | |
| Filip Sokołowski | 2012-06-28 | 2015-02-26 |
| Beata Deręgowska | 2013-06-27 | 2015-11-26 |
| Barbara Lewandowska | 2013-06-27 | 2015-11-26 |
| Tomasz Kobos | 2014-05-29 | 2016-06-30 |
| Michał Kozdęba | 2018-06-28 |
Recenzje (po 27 października 2003 roku)
| Recenzowany | Jednostka | Treść recenzji |
|---|---|---|
| Doktorat: Marcin Ziomek | ||
| Habilitacja: Anna Pelczar-Barwacz | Katedra Analizy Funkcjonalnej | |
| Doktorat: Tomasz Zając | ||
| Doktorat: Joanna Garbulińska | Zakład Historii Matematyki |
Granty (realizowane po maju 2009 roku)
| Tytuł | Rola | Rozpoczęcie | Zakończenie |
|---|---|---|---|
| Uproszczenie dowodu twierdzenia Generalized Banach Contraction Conjecture, jego uogólnienie oraz uzyskanie nowych rezultatów dotyczących odwzorowań alpha-nierozszerzających | Kierownik | 2011-05-26 | 2013-11-25 |
| Jedyność i silna jedyność rozszerzeń minimalnych | Kierownik | 2011-05-04 | 2012-05-03 |
| Przestrzenie o maksymalnych stałych projekcji | Kierownik | 2010-04-14 | 2013-04-13 |