Autore	Arhancet Cédric (1979-)
Pubbl/distr/stampa	Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica	1 online resource (288 pages)
Disciplina	515.7
Collana	Lecture Notes in Mathematics
Soggetto topico	Functional analysis Global analysis (Mathematics) Manifolds (Mathematics) Teoria d'operadors Anàlisi funcional Anàlisi global (Matemàtica) Varietats (Matemàtica)
Soggetto genere / forma	Llibres electrònics
ISBN	3-030-99011-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISA-996475750703316

Autore	Arhancet Cédric
Edizione	[1st ed. 2022.]
Pubbl/distr/stampa	Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Descrizione fisica	1 online resource (288 pages)
Disciplina	515.7
Collana	Lecture Notes in Mathematics
Soggetto topico	Operator theory Functional analysis Global analysis (Mathematics) Manifolds (Mathematics) Operator Theory Functional Analysis Global Analysis and Analysis on Manifolds
ISBN	3-030-99011-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Intro -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 2 Preliminaries -- 2.1 Operators, Functional Calculus and Semigroups -- 2.2 q-Gaussian Functors, Isonormal Processes and Probability -- 2.3 Vector-Valued Unbounded Bilinear Forms on Banach Spaces -- 2.4 Transference of Fourier Multipliers on Crossed Product Von Neumann Algebras -- 2.5 Hilbertian Valued Noncommutative Lp-Spaces -- 2.6 Carré Du Champ and First Order Differential Calculus for Fourier Multipliers -- 2.7 Carré Du Champ and First Order Differential Calculus for Schur Multipliers -- 3 Riesz Transforms Associated to Semigroups of Markov Multipliers -- 3.1 Khintchine Inequalities for q-Gaussians in Crossed Products -- 3.2 Lp-Kato's Square Root Problem for Semigroups of Fourier Multipliers -- 3.3 Extension of the Carré du Champ for Fourier Multipliers -- 3.4 Lp-Kato's Square Root Problem for Semigroups of Schur Multipliers -- 3.5 Meyer's Problem for Semigroups of Schur Multipliers -- 4 Boundedness of H∞ Functional Calculusof Hodge-Dirac Operators -- 4.1 Boundedness of Functional Calculus of Hodge-Dirac Operators for Fourier Multipliers -- 4.2 Extension to Full Hodge-Dirac Operator and Hodge Decomposition -- 4.3 Hodge-Dirac Operator on Lp(VN(G)) Ωψ,q,p -- 4.4 Bimodule Ωψ,q,p,c -- 4.5 Hodge-Dirac Operators Associated to Semigroups of Markov Schur Multipliers -- 4.6 Extension to Full Hodge-Dirac Operator and Hodge Decomposition -- 4.7 Independence from H and α -- 5 Locally Compact Quantum Metric Spaces and Spectral Triples -- 5.1 Background on Quantum Locally Compact Metric Spaces -- 5.2 Quantum Compact Metric Spaces Associated to Semigroups of Fourier Multipliers -- 5.3 Gaps and Estimates of Norms of Schur Multipliers -- 5.4 Seminorms Associated to Semigroups of Schur Multipliers -- 5.5 Quantum Metric Spaces Associated to Semigroups of Schur Multipliers. 5.6 Gaps of Some Markovian Semigroups of Schur and Fourier Multipliers -- 5.7 Banach Spectral Triples -- 5.8 Spectral Triples Associated to Semigroupsof Fourier Multipliers I -- 5.9 Spectral Triples Associated to Semigroupsof Fourier Multipliers II -- 5.10 Spectral Triples Associated to Semigroupsof Schur Multipliers I -- 5.11 Spectral Triples Associated to Semigroupsof Schur Multipliers II -- 5.12 Bisectoriality and Functional Calculus of the Dirac Operator II -- A Appendix: Lévy Measures and 1-Cohomology -- References -- Index.
Record Nr.	UNINA-9910568280303321