Description |
1 online resource (ix, 335 pages) |
Contents |
Measure and integral -- The Cauchy-Schwarz inequality -- The AM-GM inequality -- Convexity, and Jensen's inequality -- The Lp spaces -- Banach function spaces -- Rearrangements -- Maximal inequalities -- Complex interpolation -- Real interpolation -- The Hilbert transform, and Hilbert's inequalities -- Khintchine's inequality -- Hypercontractive and logarithmic Sobolev inequalities -- Hadamard's inequality -- Hilbert space operator inequalities -- Summing operators -- Approximation numbers and eigenvalues -- Grothendieck's inequality, type, and cotype |
Summary |
D.J.H. Garling's 'Inequalities' contains a wealth of inequalities used in linear analysis, explaining in detail how they are used. The text will broaden the knowledge of postgraduate and research students, and will appeal to their teachers, and all who work in linear analysis |
Bibliography |
Includes bibliographical references (pages 325-329) and indexes |
Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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English |
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Print version record |
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
Subject |
Inequalities (Mathematics)
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Functional analysis.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Functional analysis
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Inequalities (Mathematics)
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Lineare Funktionalanalysis
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Ungleichung
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Form |
Electronic book
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LC no. |
2007015539 |
ISBN |
9780511649233 |
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0511649231 |
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9780511288685 |
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0511288689 |
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9780521876247 |
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0521876249 |
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9780521699730 |
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0521699738 |
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9780511755217 |
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051175521X |
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1107182492 |
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9781107182493 |
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0511645147 |
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9780511645143 |
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9786612389719 |
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6612389710 |
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1282389718 |
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9781282389717 |
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0511573901 |
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9780511573903 |
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