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  3. Linear Analysis
  • Cited by 43
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      March 1999
      ISBN:
      9781139168472
      9780521655774
      DOI:
      https://doi.org/10.1017/CBO9781139168472
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.36kg, 256 Pages
      • Subjects:
      Mathematics, Abstract Analysis
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    Subjects:
    Mathematics, Abstract Analysis
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    Book description

    Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.

    Reviews

    ‘ … a well-written concise introduction to functional analysis.’

    Source: European Mathematical Society

    ‘Bollobás writes with clarity and has clearly thought about the needs of his readers. First-time students of functional analysis will thank him for his willingness to remind them about notation and to repeat definitions that he has not used for a while. Bollobás has written a fine book. it is an excellent introduction to functional analysis that will be invaluable to advanced undergraduate students (and their lectures).

    Steve Abbott Source: The Mathematical Gazette

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