Abstract
The restriction of Int to the vector space of all bounded kernels on X × Y is a linear transformation into the set of all bounded operators from L 2(Y) to L 2(X). It is natural to ask: is that linear transformation injective? In other words: is an integral operator induced by only one kernel? The content of the following assertion is that the answer is yes.
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© 1978 Springer-Verlag Berlin Heidelberg
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Halmos, P.R., Sunder, V.S. (1978). Uniqueness. In: Bounded Integral Operators on L 2 Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67016-9_8
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DOI: https://doi.org/10.1007/978-3-642-67016-9_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-67018-3
Online ISBN: 978-3-642-67016-9
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