Description

Book Synopsis

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

Denseness, Bases and Frames in Banach Spaces and Applications

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    A Hardback by Aref Jeribi

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      View other formats and editions of Denseness, Bases and Frames in Banach Spaces and Applications by Aref Jeribi

      Publisher: De Gruyter
      Publication Date: Publication Date: 19/03/2018
      ISBN13: 9783110484885, 978-3110484885
      ISBN10:

      Description

      Book Synopsis

      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

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