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Author Kaliuzhnyi-Verbovetskyi, Dmitry S., 1965-
Title Foundations of free noncommutative function theory / [electronic resource] Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov
Imprint Providence, Rhode Island : American Mathematical Society, [2014]
book jacket
Descript 1 online resource (pages cm.)
text rdacontent
unmediated rdamedia
volume rdacarrier
Series Mathematical Surveys and Monographs, 0076-5376 (print); 2331-7159 (online); v. 199
Note Includes bibliographical references and index
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014
Mode of access : World Wide Web
Description based on print version record
Link Print version: Kaliuzhnyi-Verbovetskyi, Dmitry S., 1965- Foundations of free noncommutative function theory / (DLC) 2014025799 0076-5376 9781470416973
Subject Functional analysis
Noncommutative algebras
Noncommutative function spaces
Nonassociative rings and algebras -- General nonassociative rings -- Free algebras. msc
Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of series and sequences. msc
Functional analysis -- Selfadjoint operator algebras ($Ĉ*$-algebras, von Neumann ($Ŵ*$-) algebras, etc.) -- Noncommutative function spaces. msc
Functional analysis -- Selfadjoint operator algebras ($Ĉ*$-algebras, von Neumann ($Ŵ*$-) algebras, etc.) -- Free probability and free operator algebras. msc
Operator theory -- General theory of linear operators -- Functional calculus. msc
Operator theory -- Linear spaces and algebras of operators -- Operator spaces (= matricially normed spaces). msc
Alt Author Vinnikov, V. (Victor)
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