Compact diagonal linear operators on Banach spaces with unconditional bases
Yun Sung Choi1and Sung Guen Kim1
Received13 Apr 1992
Revised03 Jul 1992
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.