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Representations of Compact Linear Operators in Banach Spaces and Nonlinear Eigenvalue Problems II

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Spectral Theory and Analysis

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 214))

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Abstract

This is a survey of recent work concerning a representation of compact linear operators acting between reflexive Banach spaces with strictly convex duals which is an analogue of Erhard Schmidt’s classical Hilbert space theorem for compact operators.

Mathematics Subject Classification (2000). Primary 47A75; Secondary 47B06, 35P30.

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Correspondence to D. E. Edmunds .

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Edmunds, D.E., Evans, W.D., Harris, D.J. (2011). Representations of Compact Linear Operators in Banach Spaces and Nonlinear Eigenvalue Problems II. In: Janas, J., Kurasov, P., Laptev, A., Naboko, S., Stolz, G. (eds) Spectral Theory and Analysis. Operator Theory: Advances and Applications(), vol 214. Springer, Basel. https://doi.org/10.1007/978-3-7643-9994-8_2

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