Semi-Fredholm theory on Hilbert \(C^*\)-modules

DOI10.1215/17358787-2019-0022zbMath1440.47008arXiv1906.03319OpenAlexW2948808393MaRDI QIDQ2329257

Stefan Ivković

Publication date: 17 October 2019

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03319

zbMATH Keywords

Hilbert \(C^*\)-moduleCalkin algebrasemi-A-Fredholm operator

Mathematics Subject Classification ID

(C^*)-modules (46L08) (Semi-) Fredholm operators; index theories (47A53)

Related Items (8)

Solving existence problems via contractions in expanded \(b\)-metric spaces ⋮ On various generalizations of semi-\(\mathcal{A}\)-Fredholm operators ⋮ Semi-Fredholm theory in \(C^\ast\)-algebras ⋮ Topological modules geometry ⋮ On Drazin invertible \(C^\ast\)-operators and generalized \(C^\ast\)-Weyl operators ⋮ On operators with closed range and semi-Fredholm operators over \(W^*\)-algebras ⋮ On compressions and generalized spectra of operators over \(C^*\)-algebras ⋮ On upper triangular operator 2 x 2 matrices over C*-algebras

Cites Work

• Equivalence classes of linear mappings on \(\mathcal B(\mathcal M)\)
• Left-right Browder and left-right Fredholm operators
• The product of operators with closed range in Hilbert \(C^{*}\)-modules
• A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras
• Maps preserving semi-Fredholm operators on Hilbert \(C^*\)-modules
• Compact and ``compact operators on standard Hilbert modules over \(C^*\)-algebras
• Moore–Penrose inverses of Gram operators on Hilbert C^*-modules
• BANACH ALGEBRAS, PSEUDODIFFERENTIAL OPERATORS, AND THEIR APPLICATION TOK-THEORY
• Inner Product Modules Over B ∗ -Algebras
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