Topological Vector Spaces, Distributions and Kernels

 
9780126994506: Topological Vector Spaces, Distributions and Kernels

Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.

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Francois Treves
Published by Academic Press (1967)
ISBN 10: 0126994501 ISBN 13: 9780126994506
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Book Description Academic Press, 1967. Book Condition: Good. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Bookseller Inventory # 0126994501-2-4

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Treves, Francois
Published by Academic Press (1970)
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Book Description Academic Press, 1967. Book Condition: Good. First Edition. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP83366149

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