Index of continuous families of bounded linear operators in Banach spaces and application

Mohammed Berkani

Index of continuous families of bounded linear operators in Banach spaces and application

Spectral Theory 2020-10-15 v1 Functional Analysis

Authors: Mohammed Berkani

Abstract

In this paper, we define an analytical index for continuous families of Fredholm operators parameterized by a topological space $\mathbb{X}$ into a Banach space $X.$ We also consider the Weyl spectrum for continuous families of bounded linear operators and we study its continuity.

Keywords

fredholm operators analytical index banach spaces weyl spectrum continuous families bounded linear operators continuity

Cite

@article{arxiv.2010.07040,
  title  = {Index of continuous families of bounded linear operators in Banach spaces and application},
  author = {Mohammed Berkani},
  journal= {arXiv preprint arXiv:2010.07040},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1912.07267

Index of continuous families of bounded linear operators in Banach spaces and application

Abstract

Keywords

Cite

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