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Norm Ideals of Completely Continuous Operators by Robert Schatten - Paperback
413.70 AED

Norm Ideals of Completely Continuous Operators by Robert Schatten - Paperback

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Category Type
Mathematics
ISBN
9783642876547
Author
Robert Schatten
Publisher
Springer
Description:

Completely continuous operators on a Hilbert space or even on a Banach space have received considerable attention in the last fifty years. Their study was usually confined to special completely continuous operators or to the discovery of properties common to all of them (for instance, that every such operator admits a proper invariant subspace). On the other hand, interest in spaces of ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642876547
    Languages
    English
    Item EAN
    2724437277405
    People
    Author
    Robert Schatten
    Category Type
    Mathematics
    ISBN
    9783642876547
    Languages
    English
    Item EAN
    2724437277405
    People
    Author
    Robert Schatten
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    Completely continuous operators on a Hilbert space or even on a Banach space have received considerable attention in the last fifty years. Their study was usually confined to special completely continuous operators or to the discovery of properties common to all of them (for instance, that every

    Completely continuous operators on a Hilbert space or even on a Banach space have received considerable attention in the last fifty years. Their study was usually confined to special completely continuous operators or to the discovery of properties common to all of them (for instance, that every such operator admits a proper invariant subspace). On the other hand, interest in spaces of completely continuous operators is comparatively new. Some results of this type may be found implicit in the early work of E. SCHMIDT. Other results are "generally known" and cannot be found explicitly in print. One of the interesting and relatively new results states that modulo the language of BANACH (that is, up to equivalence) the space of all operators on a Hilbert space f> is the second conjugate of the space of all completely continuous operators on f>. The study of spaces of completely continuous operators on a perfectly general Banach space involves many difficulties. Some stem, for instance, from the unsolved problem whether a completely continuous operator on a perfectly general Banach space is always approximable in bound by operators of finite rank. The answer is affirmative in all the special Banach spaces considered. An affirmative answer to the above problem is the ultimate desideratum - it ould simplify the theory considerably. A negative answer, however, would be equally interesting (although for us not so useful), since it would settle negatively the open "basis problem.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Robert Schatten
    • Publisher: Springer
    • ISBN: 9783642876547
    • Number of Pages: 83
    • Dimensions: 9.21 x 6.14 x 0.2 inches
 

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