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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 150))

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Abstract

We start with recalling how the class of the compact operators on a Banach space determines both the strong operator topology and the set of the Fredholm operators. This characterization is then taken as a starting point to introduce generalized notions of strong convergence and Fredholmness.

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© 2004 Springer Basel AG

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Rabinovich, V., Silbermann, B., Roch, S. (2004). Limit Operators. In: Limit Operators and Their Applications in Operator Theory. Operator Theory: Advances and Applications, vol 150. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7911-8_1

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  • DOI: https://doi.org/10.1007/978-3-0348-7911-8_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9619-1

  • Online ISBN: 978-3-0348-7911-8

  • eBook Packages: Springer Book Archive

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