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.
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© 1996 Birkhäuser Verlag
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Berezansky, Y.M., Sheftel, Z.G., Us, G.F. (1996). Compact Operators. Equations with Compact Operators. In: Functional Analysis. Operator Theory Advances and Applications, vol 85. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9185-1_9
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DOI: https://doi.org/10.1007/978-3-0348-9185-1_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9939-0
Online ISBN: 978-3-0348-9185-1
eBook Packages: Springer Book Archive