The norm attainment problem for functions of projections

Albrecht Böttcher; Ilya M. Spitkovsky

doi:10.1007/s00013-021-01628-7

The norm attainment problem for functions of projections

Albrecht Böttcher, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. Every skew projection on that Hilbert space is contained in such an algebra and hence the results of the paper also describe functions of skew projections and their adjoints that attain the norm.

Original language	English (US)
Pages (from-to)	397-403
Number of pages	7
Journal	Archiv der Mathematik
Volume	117
Issue number	4
DOIs	https://doi.org/10.1007/s00013-021-01628-7
State	Published - Oct 2021

Keywords

Norm attainment
Skew projection
Two orthogonal projections

ASJC Scopus subject areas

General Mathematics

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10.1007/s00013-021-01628-7

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title = "The norm attainment problem for functions of projections",

abstract = "The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. Every skew projection on that Hilbert space is contained in such an algebra and hence the results of the paper also describe functions of skew projections and their adjoints that attain the norm.",

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The norm attainment problem for functions of projections

Abstract

Keywords

ASJC Scopus subject areas

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