Ideal perturbations of elements in $C^*$-Algebras.

DOI10.7146/math.scand.a-11707zbMath0377.46049OpenAlexW2531178376MaRDI QIDQ4157177

Charles A. Akemann, Gert Kjaergård Pedersen

Publication date: 1977

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166546

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (32)

The alternative Dunford-Pettis property in $C^*$-algebras and von Neumann preduals ⋮ Algebraic ideals of semiprime Banach algebras ⋮ Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory ⋮ On the extension of isometries between the unit spheres of von Neumann algebras ⋮ A Note on Polynomial Operator Approximation ⋮ Diagonality in \(C^*\)-algebras ⋮ A Simultaneous Lifting Theorem for Block Diagonal Operators ⋮ Homotopy equivalence in unbounded \(KK\)-theory ⋮ Diagonality modulo hybrid Lorentz-\((p,1)\) ideals in semifinite factors ⋮ On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻) ⋮ Abelian strict approximation in $AW^*$-algebras and Weyl-von Neumann type theorems ⋮ A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras ⋮ Triangular form for bounded linear operators ⋮ One-parameter groups of orthogonality preservers on \(C^*\)-algebras ⋮ Elements of -algebras Attaining their Norm in a Finite-dimensional Representation ⋮ A generalized spectral radius formula and Olsen's question ⋮ Semiprojectivity of universal $C^{*}$-algebras generated by algebraic elements ⋮ The generator problem for $\mathcal {Z}$-stable $C^*$-algebras ⋮ On the Relative Reflexivity of Finitely Generated Modules of Operators ⋮ Dunford-Pettis properties, Hilbert spaces and projective tensor products ⋮ Set Theory and C*-Algebras ⋮ One-parameter semigroups of orthogonality preservers of JB*-algebras ⋮ Stabilising uniform property $\Gamma $ ⋮ Completely bounded mappings and simplicial complex structure in the primitive ideal space of a $C^*$-algebra ⋮ Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras ⋮ Orthogonally additive holomorphic maps between C$^{*}$-algebras ⋮ Zero product preserving linear maps of CCR C\(^*\)-algebras with Hausdorff spectrum ⋮ Projectivity, transitivity and AF-telescopes ⋮ On the central Haagerup tensor product and completely bounded mappings of a \(C^*\)-algebra ⋮ Noncommutative semialgebraic sets and associated lifting problems ⋮ Perturbation theory for groups and lattices ⋮ Remarks on quasicentral approximate identities

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