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

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.

arXiv admin note: substantial text overlap with arXiv:1912.07267