000			03507nam a22004933i 4500
001			EBC5110283
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005			20240729131535.0
006			m o d |
007			cr cnu||||||||
008			240724s2017 xx o ||||0 eng d
020			_a9781470441333 _q(electronic bk.)
020			_z9781470425654
035			_a(MiAaPQ)EBC5110283
035			_a(Au-PeEL)EBL5110283
035			_a(CaPaEBR)ebr11491785
035			_a(OCoLC)1005658258
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA326 .H974 2017
082	0		_a512.556
100	1		_aJunge, Marius.
245	1	0	_aHypercontractivity in Group von Neumann Algebras.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2017.
264		4	_c©2017.
300			_a1 online resource (102 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.249
505	0		_aCover -- Title page -- Introduction -- Chapter 1. The combinatorial method -- 1.1. Notation -- 1.2. Aim of the method -- 1.3. Admissible lengths -- 1.4. Completing squares I -- 1.5. A decomposition of ᵤ( ) -- 1.6. Completing squares II -- 1.7. Analysis of both approaches -- 1.8. Λ-estimates -- 1.9. Δ-estimates -- 1.10. Strategy -- Chapter 2. Optimal time estimates -- 2.1. Free groups -- 2.2. Triangular groups -- 2.3. Finite cyclic groups -- 2.4. Comments -- Chapter 3. Poisson-like lengths -- 3.1. Proof of Theorem B -- 3.2. Behavior of the constant (\G, ) -- 3.3. Examples of Poisson-like lengths -- 3.4. Ultracontractivity -- Appendix A. Logarithmic Sobolev inequalities -- Appendix B. The word length in ℤ_{ } -- Appendix C. Numerical analysis -- C.1. Estimates for free groups -- C.2. Estimates for triangular groups -- C.3. Estimates for finite cyclic groups -- Appendix D. Technical inequalities -- D.0. Positivity test for polynomials -- D.1. Technical inequalities for free groups -- D.2. Technical inequalities for triangular groups -- D.3. Technical inequalities for finite cyclic groups -- D.4. Proofs -- Bibliography -- Back Cover.
520			_aIn this paper, the authors provide a combinatorial/numerical method to establish new hypercontractivity estimates in group von Neumann algebras. They illustrate their method with free groups, triangular groups and finite cyclic groups, for which they obtain optimal time hypercontractive L_2 \to L_q inequalities with respect to the Markov process given by the word length and with q an even integer. Interpolation and differentiation also yield general L_p \to L_q hypercontrativity for 1.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aVon Neumann algebras.
650		0	_aGroup algebras.
655		4	_aElectronic books.
700	1		_aPalazuelos, Carlos.
700	1		_aParcet, Javier.
776	0	8	_iPrint version: _aJunge, Marius _tHypercontractivity in Group von Neumann Algebras _dProvidence : American Mathematical Society,c2017 _z9781470425654
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5110283 _zClick to View
999			_c131795 _d131795