Theory of Linear Operations~tqw~ darksiderg

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  Theory of Linear Operations~tqw~ darksiderg
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• Added:
  08/11/2008
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  *******************************************************************************<br /> Theory of Linear Operations <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 9,958,001 bytes<br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This classic work by the late Stefan Banach has been translated into English so <br /> as to reach a yet wider audience. It contains the basics of the algebra of <br /> operators, concentrating on the study of linear operators, which corresponds to <br /> that of the linear forms a1x1 &bull; a2x2 &bull; ... &bull; anxn of algebra.<br /> <br /> The book gathers results concerning linear operators defined in general spaces <br /> of a certain kind, principally in Banach spaces, examples of which are: the <br /> space of continuous functions, that of the pth-power-summable functions, Hilbert <br /> space, etc. The general theorems are interpreted in various mathematical areas, <br /> such as group theory, differential equations, integral equations, equations with <br /> infinitely many unknowns, functions of a real variable, summation methods and <br /> orthogonal series.<br /> <br /> Table of Contents<br /> <br /> The Lebesgue-Stieltjes Integral. <br /> (B)-Measurable Sets and Operators in Metric Spaces. <br /> Groups.<br /> General Vector Spaces. <br /> F-Spaces. <br /> Normed Spaces. <br /> Banach Spaces. <br /> Compact Operators. <br /> Biorthogonal Sequences. <br /> Linear Functionals. <br /> Weakly Convergent Sequences. <br /> Linear Functional Equations. <br /> Isometry, Equivalence, Isomorphism. <br /> Linear Dimension. <br /> Appendix: Weak Convergence in Banach Spaces.Some Aspects of the Present Theory <br /> of Banach Spaces<br /> Reflexive and Weakly Compactly Generated Banach Spaces. <br /> Related Counter Examples. <br /> Local Properties of Banach Spaces. <br /> The Approximation Property and Bases. <br /> Characterizations of Hilbert Spaces in the Class of Banach Spaces. <br /> Classical Banach Spaces. <br /> The Topological Structure of Linear Metric Spaces. <br /> Bibliography. <br /> <br /> Product Details<br /> <br /> * ISBN: 0444701842<br /> * ISBN-13: 9780444701848<br /> * Format: Hardcover, 248pp<br /> * Publisher: Elsevier Science &amp; Technology Books<br /> * Pub. Date: March 1987<br /> * Edition Number: 2<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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