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Bounded Integral Operators on L 2 Spaces by P. R. Halmos, V. S. Sunder - Paperback
532.35 AED

Bounded Integral Operators on L 2 Spaces by P. R. Halmos, V. S. Sunder - Paperback

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Category Type
Mathematics
ISBN
9783642670183
Author
P. R. Halmos, V. S. Sunder
Publisher
Springer
Description:

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. ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642670183
    Languages
    English
    Item EAN
    2724437270178
    People
    Author
    P. R. Halmos, V. S. Sunder
    Category Type
    Mathematics
    ISBN
    9783642670183
    Languages
    English
    Item EAN
    2724437270178
    People
    Author
    P. R. Halmos, V. S. Sunder
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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

    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 dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): P. R. Halmos, V. S. Sunder
    • Publisher: Springer
    • ISBN: 9783642670183
    • Number of Pages: 134
    • Dimensions: 9.61 x 6.69 x 0.33 inches
 

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