Positive Projections with Contractive Complements on Jordan Algebras

DOI10.1112/JLMS/S2-25.2.365zbMath0481.46032OpenAlexW2036144444MaRDI QIDQ3937871

Martin A. Youngson, A. Guyan Robertson

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.2.365

zbMATH Keywords

contractive projectionJordan algebracontractive complementJordan automorphisms of order twoKadison Schwarz inequalitypositive unital projections on C*-algebras and JB-algebras

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65)

Related Items (7)

Conditional expectation and bicontractive projections on Jordan \(C^ *\)- algebras and their generalizations ⋮ Contractively decomposable projections on noncommutative \(\mathrm{L}^p\)-spaces ⋮ Existence of contractive projections on preduals of \(JBW^*\)-triples ⋮ Generalised \(F\)-algebras as predual algebras of \( JBW ^\ast\)-triples and characterisations of the Fourier algebras on locally compact groups ⋮ Jordan operator algebras ⋮ Unit-free contractive projection theorems for \(C^\ast\)-, \(JB^\ast\)-, and \(JB\)-algebras ⋮ Images of contractive projections on operator algebras

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