BANACH Coherent Analytic FRÉCHET Sheaves

DOI10.1002/mana.19780850108zbMath0409.32017OpenAlexW2077902149MaRDI QIDQ4196685

Jürgen Leiterer

Publication date: 1978

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19780850108

zbMATH Keywords

Stein SpaceAnalytic Frenchet SheafBanach Analytic SpacesTrivial Cohomology

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Analytic sheaves and cohomology groups (32C35) Banach analytic manifolds and spaces (32K05) Vanishing theorems (32L20) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (30)

Spectral theory and sheaf theory. II ⋮ Operators with closed ranges in spaces of analytic vector-valued functions ⋮ Multiplicative Decompositions of Holomorphic Fredholm Functions and ψ*-Algebras ⋮ HARTOGS TYPE THEOREMS ON COVERINGS OF STEIN MANIFOLDS ⋮ A generalization of Vesentini and Wermer's theorems ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ On the cohomology groups of holomorphic Banach bundles ⋮ Local spectral theory and spectral inclusions ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ Analytic perturbation of semi-Fredholm operators ⋮ Selberg type zeta functions for the group of complex two by two matrices of determinant one ⋮ Lifting-Probleme für Vektorfunktionen und Tensorprodukt-Sequenzen ⋮ Homomorphisms of infinitely generated analytic sheaves ⋮ Linear equations depending differentiably on a parameter ⋮ Smoothness of generalized inverses ⋮ Smoothness of generalized inverses ⋮ Meromorphic generalized inverses of operator functions ⋮ On holomorphic Banach vector bundles over Banach spaces ⋮ Analytic sheaves in Banach spaces☆ ⋮ Inverses depending holomorphically on a parameter in a Banach space ⋮ Closed range property for holomorphic semi-Fredholm functions ⋮ Fundamental Solutions for Hypoelliptic Differential Operators Depending Analytically on a Parameter ⋮ On holomorphic operator function equations ⋮ Real analytic curves in Fréchet spaces and their duals ⋮ On the local spectral properties of the left multiplication operators ⋮ The surjectivity radius, packing numbers and boundedness below of linear operators ⋮ Partial differential operators depending analytically on a parameter ⋮ Complete controllability of spectrum assignment in infinite dimensional spaces ⋮ Representations of \(H^ \infty(G)\) and invariant subspaces ⋮ Parameter dependence of solutions of partial differential equations in spaces of real analytic functions

Cites Work

• Analytic functions with values in a Frechet space

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