Denseness, Bases and Frames in Banach Spaces and Applications

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Denseness, Bases and Frames in Banach Spaces and Applications is written by Aref Jeribi and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3110492407 (ISBN 10) and 9783110492408 (ISBN 13).

This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space. Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed. Contents Introduction Linear operators Basic notations and results Bases Semi-groups Discrete operator and denseness of the generalized eigenvectors Frames in Hilbert spaces Summability of series ν-convergence operators Γ-hypercyclic set of linear operators Analytic operators in Béla Szökefalvi-Nagy’s sense Bases of the perturbed operator T(ε) Frame of the perturbed operator T(ε) Perturbation method for sound radiation by a vibrating plate in a light fluid Applications to mathematical models Reggeon field theory