More on convergence in unitary matrix spaces-Reference-Cited by-同舟云学术

More on convergence in unitary matrix spaces

Published:1981 Issue:1 Volume:83 Page:44-48
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Arazy Jonathan

Abstract

Let E E be a symmetric sequence space satisfying the Radon-Riesz Property \[ { | | x n | | → | | x | | and x n → x weakly } ⇒ | | x n − x | | → 0 , \{ ||{x_n}|| \to ||x||{\text {and }}{x_n} \to x{\text { weakly}}\} \Rightarrow ||{x_n} - x|| \to 0, \] then the same is true for the associated unitary matrix space C E C_{E} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-083-01/S0002-9939-1981-0619978-4/S0002-9939-1981-0619978-4.pdf

Reference4 articles.

1. Basic sequences, embeddings, and the uniqueness of the symmetric structure in unitary matrix spaces;Arazy, Jonathan;J. Functional Analysis,1981

2. On the geometry of the unit ball of unitary matrix spaces;Arazy, Jonathan;Integral Equations Operator Theory,1981

3. Two theorems about 𝒞_{𝓅};Grümm, H. R.;Rep. Mathematical Phys.,1973

4. The moduli of smoothness and convexity and the Rademacher averages of trace classes 𝑆_{𝑝}(1≤𝑝<∞);Tomczak-Jaegermann, Nicole;Studia Math.,1974

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