Abstract
In this chapter a connection is established between the Fredholmness of the operator A = [A mk ] n m,k=1 in the Cartesian product E n = E × ... × E of n copies of a Banach space E and the Fredholmness of its determinant det[A mk ] in E. Conditions are given under which the indices of these two operators coincide.
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© 1987 Springer Basel AG
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Krupnik, N.Y. (1987). Matrix Fredholm Operators. In: Banach Algebras with Symbol and Singular Integral Operators. Operator Theory: Advances and Applications, vol 26. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5463-4_1
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DOI: https://doi.org/10.1007/978-3-0348-5463-4_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5465-8
Online ISBN: 978-3-0348-5463-4
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