A description of Hilbert 𝐶*-modules in which all closed submodules are orthogonally closed

DOI10.1090/S0002-9939-99-05219-3zbMath0919.46042MaRDI QIDQ4243688

Jürgen Schweizer

Publication date: 19 May 1999

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

zbMATH Keywords

Hilbert \(C^*\)-modulescomplemented submodulesouter direct sum

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (10)

Finite generation in C^*-algebras and Hilbert C^*-modules ⋮ Extensions of the Lax-Milgram theorem to Hilbert \(C^*\)-modules ⋮ Compatibility and Schur complements of operators on Hilbert \(C^*\)-module ⋮ FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES ⋮ Another characterization of Hilbert \(C^*\)-modules over compact operators ⋮ Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules ⋮ The product of operators with closed range in Hilbert \(C^{*}\)-modules ⋮ Orthogonal complementing in Hilbert $C^*$-modules ⋮ Residually finite-dimensional operator algebras ⋮ Hilbert \(C^{*}\)-modules in which all relatively strictly closed submodules are complemented

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