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|a 717514551
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|a Kosaki, Hideki.
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|a Positive definiteness of functions with applications to operator norm inequalities /
|c Hideki Kosaki.
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|a Providence, R.I. :
|b American Mathematical Society,
|c 2011.
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|a 1 online resource (v, 80 pages)
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|a text
|b txt
|2 rdacontent
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|b c
|2 rdamedia
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|a online resource
|b cr
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v number 997
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|a "July 2011, volume 212, number 997 (second of 4 numbers)."
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|a Includes bibliographical references (pages 77-78) and index.
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|a Print version record.
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|a Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.
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|t Chapter 1. Introduction
|t Chapter 2. Preliminaries
|t Chapter 3. Fourier transforms and positive definiteness
|t Chapter 4. A certain Heinz-type inequality and related commutator estimates
|t Chapter 5. Norm comparison for various operator means
|t Chapter 6. Norm inequalities for $H^{\frac {1}{2} + \beta } X K^{\frac {1}{2} -- \beta } + H^{\frac {1}{2} -- \beta } X K^{\frac {1}{2} + \beta } \pm H^{\frac {1}{2}} X K^{\frac {1}{2}}$
|t Chapter 7. Norm comparison of Heron-type means and related topics
|t Chapter 8. Operator Lehmer means and their properties
|t Appendix A.A direct proof for Proposition 7.3
|t Appendix B. Proof for Theorem 7.10.
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Operator theory.
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650 |
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|a Inequalities (Mathematics)
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650 |
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|a Fourier transformations.
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650 |
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|a Théorie des opérateurs.
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650 |
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|a Inégalités (Mathématiques)
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650 |
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7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
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650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
|
650 |
|
7 |
|a Fourier transformations
|2 fast
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650 |
|
7 |
|a Inequalities (Mathematics)
|2 fast
|
650 |
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7 |
|a Operator theory
|2 fast
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|i has work:
|a Positive definiteness of functions with applications to operator norm inequalities (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG73BJmpmxDtx3YXRgCRcd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
776 |
0 |
8 |
|i Print version:
|a Kosaki, Hideki.
|t Positive definiteness of functions with applications to operator norm inequalities
|z 9780821853078
|w (DLC) 2011011926
|w (OCoLC)712931072
|
830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 997.
|
856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114104
|z Texto completo
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