ON THE EQUIVALENCE BETWEEN COARSE AND UNIFORM EMBEDDABILITY OF QUASI-BANACH SPACES INTO A HILBERT SPACE

被引：0

作者：

Kraus, Michal ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Pohang Math Inst, Pohang 790784, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

Coarse embedding; uniform embedding; quasi-Banach space; Hilbert space; METRIC-SPACES;

D O I：

10.1090/proc/12626

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a direct proof of the fact that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it uniformly embeds into a Hilbert space.

引用

页码：4835 / 4844

页数：10

共 48 条

[21] An estimate of the Banach-Mazur distances between Hilbert spaces and Banach spaces
Sánchez Pérez E.A.
Del Campo Cañizares S.
Rendiconti del Circolo Matematico di Palermo, 1997, 46 (3) : 465 - 476
[22] Toward an optimal theory of integration for functions taking values in quasi-Banach spaces
José L. Ansorena
Glenier Bello
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
[23] On the Hyers-Ulam-Rassias stability of functional equations in quasi-Banach spaces
Eskandani, G. Z.
Vaezi, H.
Moradlou, F.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2009, 15 (D09): : 1 - 15
[24] EXPANSION PROPERTIES OF METRIC SPACES NOT ADMITTING A COARSE EMBEDDING INTO A HILBERT SPACE
Ostrovskii, Mikhail I.
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2009, 62 (04): : 415 - 420
[25] Coarse and Uniform Embeddings Between Orlicz Sequence Spaces
Michal Kraus
Mediterranean Journal of Mathematics, 2014, 11 : 653 - 666
[26] Coarse and Uniform Embeddings Between Orlicz Sequence Spaces
Kraus, Michal
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (02) : 653 - 666
[27] A description of interpolation spaces for quasi-Banach couples by real K-method
Astashkin, Sergey V.
Nilsson, Per G.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (01)
[28] A description of interpolation spaces for quasi-Banach couples by real K-method
Sergey V. Astashkin
Per G. Nilsson
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[29] Toward an optimal theory of integration for functions taking values in quasi-Banach spaces
Ansorena, Jose L.
Bello, Glenier
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
[30] Addendum to "uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces"
Albiac, F.
Ansorena, J. L.
POSITIVITY, 2022, 26 (05)

← 1 2 3 4 5 →