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Index of continuous families of bounded linear operators in Banach spaces and application
Published 13 Oct 2020 in math.SP and math.FA | (2010.07040v1)
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.
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