Denseness for norm attaining operator-valued functions
نویسندگان
چکیده
In this note we offer a short, constructive proof for Hilbert spaces of Lindenstrauss’ famous result on the denseness of norm attaining operators. Specifically, we show given any A ∈ L(H) there is a sequence of rank-1 operators Kn such that A+Kn is norm attaining for each n and Kn converges in norm to zero. We then apply our construction to establish denseness results for norm attaining operator-valued functions. © 2001 Elsevier Science Inc. All rights reserved.
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