Partial isometries: a survey

DOI10.22034/aot.1703-1149zbMath1386.46042OpenAlexW2612727882MaRDI QIDQ1679451

Francisco J. Fernández-Polo, Antonio M. Peralta

Publication date: 9 November 2017

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

Full work available at URL: https://projecteuclid.org/journals/advances-in-operator-theory/volume-3/issue-1/Partial-isometries-a-survey/10.22034/aot.1703-1149.full

zbMATH Keywords

extreme pointsreduced minimum moduluspartial isometryvon Neumann regularitytripotentconormMoore-Penrose invertibility\( C^*\)-algebra\({JB}^*\)-triplequadratic-conorm

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Conditions on elements (16U99) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (12)

Polynomially partial isometric operators ⋮ On the extension of isometries between the unit spheres of von Neumann algebras ⋮ Characterizing projections among positive operators in the unit sphere ⋮ On normal partial isometries ⋮ Partial isometries and generalized inverses of linear relations ⋮ Characterization of pre-idempotent copulas ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ On the unit sphere of positive operators ⋮ Metric characterisation of unitaries in JB\(^*\)-algebras ⋮ Dye's theorem for tripotents in von Neumann algebras and JBW\(^*\)-triples ⋮ Semi-generalized partial isometries ⋮ Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras

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