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＜電子ブック＞
Foundations of free noncommutative function theory / Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 199)

出版者	(Providence, Rhode Island : American Mathematical Society)
出版年	[2014]
大きさ	1 online resource (pages cm.)
著者標目	*Kaliuzhnyi-Verbovetskyi, Dmitry S. 1965- Vinnikov, V
件　名	LCSH:Functional analysis LCSH:Noncommutative algebras LCSH:Noncommutative function spaces FREE:Nonassociative rings and algebras -- General nonassociative rings -- Free algebras  全ての件名で検索 FREE:Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of series and sequences  全ての件名で検索 FREE:Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative function spaces  全ての件名で検索 FREE:Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Free probability and free operator algebras  全ての件名で検索 FREE:Operator theory -- General theory of linear operators -- Functional calculus  全ての件名で検索 FREE:Operator theory -- Linear spaces and algebras of operators -- Operator spaces (= matricially normed spaces)  全ての件名で検索
内容注記	Chapter 1. Introduction Chapter 2. NC functions and their difference-differential calculus Chapter 3. Higher order nc functions and their difference-differential calculus Chapter 4. The Taylor-Taylor formula Chapter 5. NC functions on nilpotent matrices Chapter 6. NC polynomials vs. polynomials in matrix entries Chapter 7. NC analyticity and convergence of TT series Chapter 8. Convergence of nc power series Chapter 9. Direct summands extensions of nc sets and nc functions Chapter 10. (Some) earlier work on nc functions Appendix A. Similarity invariant envelopes and extension of nc functions
一般注記	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2014 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/199 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/199 Information=Contents

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