Characterizing projections among positive operators in the unit sphere

DOI10.15352/AOT.1804-1343OpenAlexW2963555218WikidataQ129908701 ScholiaQ129908701MaRDI QIDQ1651485

Antonio M. Peralta

Publication date: 12 July 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04507

zbMATH Keywords

projectioncompact linear operatorbounded linear operatorunit sphere around a subset

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

Order type Tingley's problem for type \(I\) finite von Neumann algebras ⋮ Star order and partial isometries in \(C^\ast\)-algebras ⋮ On the unit sphere of positive operators ⋮ Positivity of $2\times2$ block matrices of operators

Cites Work

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• Tingley's problem for spaces of trace class operators
• A survey on Tingley’s problem for operator algebras
• Isometries of quantum states
• On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻)
• Isometries of spaces of normalized positive operators under the operator norm
• Isometries on positive operators of unit norm

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