B ∗ -Algebras and their Representation

DOI10.1112/jlms/s2-3.1.30zbMath0207.44401OpenAlexW2140056674MaRDI QIDQ5608351

Constantin Apostol

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-3.1.30

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (17)

Quotient-bounded elements in locally convex algebras. II ⋮ The spectral theorem for locally normal operators ⋮ Hermitian spectral theory, automatic continuity and locally convex *-algebras with a \(C^{*}\)-enveloping algebra ⋮ A Stinespring type representation for operators in Hilbert modules over local \(C^\ast\)-algebras ⋮ Bounded and unitary elements in pro-\(C^*\)-algebras ⋮ Multipliers in locally convex \(^\ast\)-algebras ⋮ Some remarks on derivations on the algebra of operators in Hilbert pro-\(C^*\)-bimodules ⋮ Continuity of ring homomorphisms for local \(C^\star\)-algebras ⋮ Completely dissipative maps and Stinespring's dilation-type theorem on \(\sigma-C^\ast\)-algebras ⋮ Structure of contractible locally $C^*$-algebras ⋮ Complete positivity, tensor products and \(C^*\)-nuclearity for inverse limits of \(C^*\)-algebras ⋮ Representations of \(*\)-semigroups associated to invariant kernels with values continuously adjointable operators ⋮ The Riccati algebraic equation in a locally \(C^*\)-algebra ⋮ On tensor products of completely positive linear maps between pro-\(C^{*}\)-algebras ⋮ Stable outer conjugacy and strong Morita equivalence of group actions on pro-\(C^{*}\)-algebras ⋮ Automatic boundedness of adjointable operators on barreled VH-spaces ⋮ On the bidual of quasinormable Fréchet algebras

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