Compact diagonal linear operators on Banach spaces with unconditional bases

Yun Sung Choi and Sung Guen Kim

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-2

Abstract:

Let E and F be Banach spaces with equivalent normalized unconditional bases. In this note we show that a bounded diagonal linear operator T : E → F is compact if and only if its entries tend to 0 , using the concept of weak uniform continuity.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:501941

DOI: 10.1155/S0161171293001048

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