On a new topology in the space of Fredholm operators

DOI10.1007/BF00127860zbMath0689.47006MaRDI QIDQ581818

Anvar Irmatov

Publication date: 1989

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

homotopy equivalenceF-topologygroup of invertible operatorsspace of Fredholm operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (3)

On stability of index of Fredholm complexes on theC*-algebra ⋮ On Compact and Fredholm Operators over C*-algebras and a New Topology in the Space of Compact Operators ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms

Cites Work

• A set of maps from \(K\) to \(\mathrm{End}_ A(\ell _ 2(A))\) isomorphic to \(\mathrm{End}_{A(K)}(\ell _ 2(A(K)))\). Applications
• The homotopy type of the unitary group of Hilbert space
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Unnamed Item

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