Almost locally minimal projections in finite dimensional Banach spaces

M. Zippin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A projection P on a Banach space X is called "almost locally minimal" if, for every α > 0 small enough, the ball B(P, α) in the space L(X) of all operators on X contains no projection Q with ∥Q∥ ≤ ∥P∥(1 - Dα2) where D is a constant. A necessary and sufficient condition for P to be almost locally minimal is proved in the case of finite dimensional spaces. This criterion is used to describe almost locally minimal projections on ℓn1.

Original languageEnglish
Pages (from-to)253-268
Number of pages16
JournalIsrael Journal of Mathematics
Volume110
DOIs
StatePublished - 1999

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