Compact diagonal linear operators on Banach spaces with unconditional bases
type: Item
instance of: scholarly article
title: Compact diagonal linear operators on Banach spaces with unconditional bases
zbMATH Open document ID: 0792.47022
DOI: 10.1155/S0161171293001048
author: Yun Sung Choi
author: Sung Guen Kim
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-07-25T00:00:00Z
full work available at URL: https://eudml.org/doc/46954
review text: Using the concept of weak uniform continuity, this paper shows that a diagonal linear operator \(T: E\to F\) is compact if and only if its entries tend to 0 (\(E\) and \(F\) are to be Banach spaces with equivalent normalized unconditional bases).
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 438939
zbMATH Keywords: compact operators
zbMATH Keywords: weak uniform continuity
zbMATH Keywords: diagonal linear operator
zbMATH Keywords: normalized unconditional bases
reviewed by: Joe Howard
MaRDI profile type: Publication
OpenAlex ID: W1995066941
description: scientific article; zbMATH DE number 438939