Generalizing the Paley-Wiener perturbation theory for Banach spaces

DOI10.1090/S0002-9939-99-04536-0zbMath0916.47013arXivmath/9709207MaRDI QIDQ4219148

Peter G. Casazza, Nigel J. Kalton

Publication date: 18 November 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9709207

zbMATH Keywords

spectrumFredholm operatorsBorsuk-Ulam theoremapproximate fixed pointsPaley-Wiener perturbation theorynorm-stability

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items

Some properties of \(K\)-frames in Hilbert spaces ⋮ Perturbation of operators and applications to frame theory ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Unnamed Item ⋮ Perturbations of frames ⋮ Stability of multivariate wave packet frames for \(L^2(\mathbb R^n)\) ⋮ The sets of monomorphisms and of almost open operators between locally convex spaces ⋮ Factorable weak operator-valued frames ⋮ Operators related to the reconstruction property in Banach spaces ⋮ The solution to the frame quantum detection problem