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Part of book or chapter of book . 1996 . Peer-reviewed

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Compact Operators. Equations with Compact Operators

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1996Publisher:Birkhäuser Basel

Authors: Georgij F. Us; Zinovij G. Sheftel; Yuri M. Berezansky;

doi: 10.1007/978-3-0348-9185-1_9

Compact Operators. Equations with Compact Operators

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Abstract

In this chapter, we study an important class of linear continuous operators, namely, compact (or completely continuous) operators. On the one hand, compact operators are interesting because they inherit many properties of operators in finite-dimensional spaces. On the other hand, many operators important for applications are compact; in particular, this is true for integral operators with “sufficiently good” kernels.

Related Organizations

Taras Shevchenko National University of Kyiv
Ukraine
Gorno-Altaisk State University
Russian Federation
Kyiv National University of Trade and Economics
Ukraine

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