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Introduction to Functional Analysis: 2 (Oxford Graduate Texts in Mathematics) - Hardcover

 
9780198514855: Introduction to Functional Analysis: 2 (Oxford Graduate Texts in Mathematics)

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The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fréchet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.

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The book can be warmly recommended to graduate students of mathematics and physics and also everybody interested in functional analysis.

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Meise, Reinhold; Vogt, Dietmar; Ramanujan, M. S.
Published by Clarendon Press (edition 1), 1997
ISBN 10: 0198514859 ISBN 13: 9780198514855
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Meise, Reinhold; Vogt, Dietmar; Ramanujan, M. S.
Published by Clarendon Press, 1997
ISBN 10: 0198514859 ISBN 13: 9780198514855
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Condition: good. This is a pre-loved book that shows moderate signs of wear from previous reading. You may notice creases, edge wear, or a cracked spine, but it remains in solid, readable condition.Please note:-May include library or rental stickers, stamps, or markings.-Supplemental materials e.g., CDs, access codes, inserts are not guaranteed.-Box sets may not come with the original outer box. If it does, the box will not be in perfect condition. -Sourced from donation centers; authenticity not verified with publisher. Your satisfaction is our top priority! If you have any questions or concerns about your order, please don't hesitate to reach out. Thank you for shopping with us and supporting small businessâ"happy reading! Seller Inventory # STM.5PU

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Meise, Reinhold; Vogt, Dietmar; Ramanujan, M. S.
Published by Clarendon Press, 1997
ISBN 10: 0198514859 ISBN 13: 9780198514855
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Condition: good. Fast Free Shipping â" Good condition book with a firm cover and clean, readable pages. Shows normal use, including some light wear or limited notes highlighting, yet remains a dependable copy overall. Supplemental items like CDs or access codes may not be included. Seller Inventory # GWV.0198514859.G

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Published by Oxford University Press, Oxford, 1997
ISBN 10: 0198514859 ISBN 13: 9780198514855
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Hardcover. Condition: new. Hardcover. The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectraltheory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their dualitytheory provides the basis for a comprehensive treatment of Frechet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Frechet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field. The book provides an introduction to a central part of mathematical analysis. It can be used as a textbook for beginner courses in functional analysis. In its last chapter results from the theory of Frechet spaces are presented. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780198514855

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