Operators with closed ranges in spaces of analytic vector-valued functions

DOI10.1016/0022-1236(86)90087-XzbMath0611.46046MaRDI QIDQ1087793

Zbigniew Slodkowski

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

multiplication operatorclosed rangeBanach spaces of sections of some infinite dimensional analytic sheaves

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items

A generalization of Vesentini and Wermer's theorems ⋮ Uniformly regular families of commuting operators ⋮ TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY ⋮ Linear equations depending differentiably on a parameter ⋮ Meromorphic generalized inverses of operator functions ⋮ Analytic Perturbation of the Taylor Spectrum ⋮ Real analytic curves in Fréchet spaces and their duals

Cites Work

• A generalization of Vesentini and Wermer's theorems
• Equivalence, linearization, and decomposition of holomorphic operator functions
• Linearization of operator functions on arbitrary open sets
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Analytic Perturbation of the Taylor Spectrum
• BANACH Coherent Analytic FRÉCHET Sheaves
• Unnamed Item