Orthonormal bases for non-archimedean Banach spaces of continuous functions

被引：0

作者：

Verdoodt, A ^{[1
]}

机构：

[1] Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium

来源：

P-ADIC FUNCTIONAL ANALYSIS | 1999年 / 207卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim is to find orthonormal bases for the Banach space C(M --> K) of continuous functions from hi to K, where K is a local field and M is a regular compact in K with diameter 1. Very well distributed sequences in M are used to find the orthonormal bases.

引用

页码：323 / 331

页数：9

共 50 条

[1] Embeddings of non-Archimedean Banach manifolds in non-Archimedean Banach spaces
Lyudkovskii, SV
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1998, 53 (05) : 1097 - 1098
[2] NON-ARCHIMEDEAN BANACH SPACES
PUT, MVD
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1969, 97 (03): : 309 - &
[3] On non-Archimedean weighted spaces of continuous functions
Katsaras, AK
Beloyiannis, A
[J]. P-ADIC FUNCTIONAL ANALYSIS, 1997, 192 : 237 - 252
[4] REFLEXIVE NON-ARCHIMEDEAN BANACH SPACES
VANDERPU.M
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1970, 73 (04): : 341 - &
[5] Frechet spaces of non-archimedean valued continuous functions
Sliwa, Wieslaw
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 385 (01) : 345 - 353
[6] NON-ARCHIMEDEAN NUCLEARITY AND SPACES OF CONTINUOUS-FUNCTIONS
DEGRANDEDEKIMPE, N
NAVARRO, S
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1991, 2 (02): : 201 - 206
[7] DIMENSION OF NON-ARCHIMEDEAN BANACH SPACES
SHILKRET, N
[J]. COLLOQUIUM MATHEMATICUM, 1973, 28 (01) : 77 - 79
[8] ISOMETRIES BETWEEN NON-ARCHIMEDEAN SPACES OF CONTINUOUS-FUNCTIONS
ARAUJO, J
MARTINEZMAURICA, J
[J]. ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1992, 659 : 12 - 17
[9] NON-ARCHIMEDEAN BANACH SPACES OF UNIVERSAL DISPOSITION
Kubzdela, A.
Perez-Garcia, C.
[J]. ANALYSIS MATHEMATICA, 2023, 49 (02) : 507 - 528
[10] Non-archimedean Banach spaces of universal disposition
A. Kubzdela
C. Perez-Garcia
[J]. Analysis Mathematica, 2023, 49 (2) : 507 - 528

← 1 2 3 4 5 →