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Bounded Integral Operators on L 2 Spaces by [by] P. R. Halmos [and] V. S. Sunder is a nonfiction available to read on EtoBox.

What is Bounded Integral Operators on L 2 Spaces about?

The subject. The phrase'integral operator'(like some other mathematically informal phrases, such as'effective procedure'and'geometric construction') is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ'spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural'continuous'generali­ zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea­ sure spaces. The category. Some of the flavor of the theory can be perceived in finite­

Who reads Bounded Integral Operators on L 2 Spaces?

Author

[by] P. R. Halmos [and] V. S. Sunder

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Published

1978

Language

EN

ISBN

9780387088945

Category

nonfiction

Subjects

Mathematics, Stem