Free Resolutions in Commutative Algebra and Algebraic Geometry
David Eisenbud
InnbundetEngelsk
Del av serien Research Notes in Mathematics
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Foundations of Free Noncommutative Function Theory
Av Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov, 2014.Del av serien Mathematical Surveys and Monographs.
In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions.
Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is dimensionless matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, quantum control.
InnbundetEngelsk
1 599,-
Ikke tilgjengelig for Klikk&Hent
Midlertidig tomt på lager
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Oppdag mer
Foundations of Free Noncommutative Function Theory
Av Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov, 2014.Del av serien Mathematical Surveys and Monographs.
In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions.
Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is dimensionless matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, quantum control.
Oppdag mer
1 599,-
InnbundetEngelsk
Ikke tilgjengelig for Klikk&Hent
Midlertidig tomt på lager
Bestillingsvare. Forventes sendt om ca 13 dager
1 599,-
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