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The norm attainment problem for functions of projections
- Publication Year :
- 2021
- Publisher :
- arXiv, 2021.
-
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. This algebra contains every skew projection on that Hilbert space and hence the results of the paper also describe functions of skew projections and their adjoints that attain the norm.<br />Comment: 6 pages
- Subjects :
- Mathematics::Operator Algebras
General Mathematics
Primary 47A30, Secondary 46L89, 47A56, 47B15, 47C15
010102 general mathematics
Hilbert space
Skew
010103 numerical & computational mathematics
01 natural sciences
Functional Analysis (math.FA)
Algebra
Mathematics - Functional Analysis
symbols.namesake
Von Neumann algebra
Projection (mathematics)
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
symbols
FOS: Mathematics
0101 mathematics
Algebra over a field
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....30effd29707a754ec76167a7af3431fc
- Full Text :
- https://doi.org/10.48550/arxiv.2103.06213