Abstract
In this chapter we introduce the notion of the (p, ϱ)-factorization of a bounded measurable function and establish a connection between this notion and the Fredholmness of Toeplitz operators. After that we will propose a generalization of the theory of (p, ϱ)-factorization to the case of Toeplitz operators with infinite index.
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© 2002 Springer Basel AG
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Dybin, V., Grudsky, S.M. (2002). Factorization and Invertibility. In: Introduction to the Theory of Toeplitz Operators with Infinite Index. Operator Theory: Advances and Applications, vol 137. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8213-2_3
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DOI: https://doi.org/10.1007/978-3-0348-8213-2_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9476-0
Online ISBN: 978-3-0348-8213-2
eBook Packages: Springer Book Archive