Smoothness of ψ-direct sums of Banach spaces

被引：0

作者：

Mitani, KI ^{[1
]}

Oshiro, S

Saito, KS

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Dept Math Sci, Niigata 9502181, Japan

[2] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2005年 / 8卷 / 01期

关键词：

absolute normed space; smooth; uniformly smooth; norming functional;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X-1,X-2,... X-n be Banach spaces and psi a continuous convex function with some appropriate conditions on a certain convex subset of R-n. Let (X-1 circle plus X-2 circle plus ... circle plus X-n)(psi) be the direct sum of X-1, X-2, ..., X-n equipped with the associated not m with psi. Then we Live the characterization of smoothness of (X-1 circle plus X-2 circle plus ... circle plus X-n)(psi).

引用

页码：147 / 157

页数：11

共 50 条

[21] Rotundity, smoothness and drops in Banach spaces
Garcia-Pacheco, Francisco J.
Seoane-Sepulveda, Juan B.
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2008, 15 (03) : 473 - 478
[22] ASYMPTOTIC SMOOTHNESS AND UNIVERSALITY IN BANACH SPACES
Causey, R. M.
Lancien, G.
COLLOQUIUM MATHEMATICUM, 2023, 172 (02) : 281 - 324
[23] MODUII OF CONVEXITY AND SMOOTHNESS OF BANACH SPACES
GURARII, VI
DOKLADY AKADEMII NAUK SSSR, 1965, 161 (05): : 1003 - &
[24] THE WEAK FIXED POINT PROPERTY OF DIRECT SUMS OF SOME BANACH SPACES
Szczepanik, Mariusz
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 641 - 648
[25] Polyhedral direct sums of Banach spaces, and generalized centers of finite sets
Vesely, Libor
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 391 (02) : 466 - 479
[26] KADEC-KLEE AND RELATED PROPERTIES OF DIRECT SUMS OF BANACH SPACES
Dowling, Patrick N.
Photi, Supaluk
Saejung, Satit
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 463 - 469
[27] MODULI RW (a, X) AND MW(X) OF DIRECT SUMS OF BANACH SPACES
Betiuk-Pilarska, Anna
Szczepanik, Mariusz
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (02) : 309 - 315
[28] Moduli R(a, X) and M(X) of direct sums of Banach spaces
Szczepanik, Mariusz
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 609 - 618
[29] PROXIMINALITY PROPERTIES IN L p (μ, X) AND POLYHEDRAL DIRECT SUMS OF BANACH SPACES
Jayanarayanan, C. R.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (06) : 708 - 723
[30] Complex strict convexity of absolute norms on Cn and direct sums of Banach spaces
Dowling, Patrick N.
Turett, Barry
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 930 - 937

← 1 2 3 4 5 →