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Exercises in Functional Analysis (Texts in the Mathematical Sciences)
 
 
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Exercises in Functional Analysis (Texts in the Mathematical Sciences) [Hardcover]

C. Costara (Author), D. Popa (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

September 30, 2003 1402015607 978-1402015601 1
This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.

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Editorial Reviews

Review

From the reviews: "The present book is one of the few books available with problems in functional analysis. … the authors have done a good job in crediting the original sources of the problems. … The layout and the exposition of the book is very good. The book will be of great help to graduate students in mathematics … . will also be very helpful to research mathematicians in analysis … . I strongly recommend the book to any person who is interested in analysis and its applications." (C. D. Aliprantis, Mathematical Reviews, Issue 2005 b)

Product Details

  • Hardcover: 451 pages
  • Publisher: Springer; 1 edition (September 30, 2003)
  • Language: English
  • ISBN-10: 1402015607
  • ISBN-13: 978-1402015601
  • Product Dimensions: 9.2 x 6.3 x 1.3 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,061,743 in Books (See Top 100 in Books)

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0 of 3 people found the following review helpful:
5.0 out of 5 stars Review of the book entitled: Exercises in Functional Analysis, October 29, 2010
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The book is very interesting. I think that it is a good reference in order to complement a full course of functional analysis because the quantity of exercises is terrific. I recommend the book for everyone!
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
null convergent sequences, prove that the following assertions, minimal norm element, weak compact set, linear space with respect, two normed spaces, norm convergent series, balanced hull, orthogonal projection theorem, closed linear subspace, scalar series, pointwise convergence topology, pointwise bounded, weak convergent, real normed space, linear topological space, nonmed space, uniform boundedness principle, reflexive space, linearly independent system, balanced neighborhood, inclusion operator, inverse mapping theorem, dense linear subspace, pairwise disjoint intervals
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Uniform Boundedness Principle, Hahn Banach
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