State (Functional Analysis): Functional Analysis, C*-Algebra, Positive Linear Functional, Operator Norm, Convex Set, Probability Measure - Brossura
Sinossi
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In functional analysis, a state on a C*-algebra is a positive linear functional of norm 1. The set of states of a C*-algebra A, sometimes denoted by S(A), is always a convex set. The extremal points of S(A) are called pure states. If A has a multiplicative identity, S(A) is compact in the weak*-topology. In the C*-algebraic formulation of quantum mechanics, states in this previous sense correspond to physical states, i.e. mappings from physical observables to their expected measurement outcome.States can be viewed as noncommutative generalizations of probability measures. By Gelfand representation, every commutative C*-algebra A is of the form C0(X) for some locally compact Hausdorff X. In this case, S(A) consists of positive Radon measures on X, and the pure states are the evaluation functionals on X. A bounded linear functional on a C*-algebra A is said to be self-adjoint if it is real-valued on the self-adjoint elements of A. Self-adjoint functionals are noncommutative analogues of signed measures.
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State (Functional Analysis)
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Omniscriptum Mär 2026, 2026
ISBN 10: 6131245142
ISBN 13: 9786131245145
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In functional analysis, a state on a C -algebra is a positive linear functional of norm 1. The set of states of a C -algebra A, sometimes denoted by S(A), is always a convex set. The extremal points of S(A) are called pure states. If A has a multiplicative identity, S(A) is compact in the weak -topology. In the C -algebraic formulation of quantum mechanics, states in this previous sense correspond to physical states, i.e. mappings from physical observables to their expected measurement outcome.States can be viewed as noncommutative generalizations of probability measures. By Gelfand representation, every commutative C -algebra A is of the form C0(X) for some locally compact Hausdorff X. In this case, S(A) consists of positive Radon measures on X, and the pure states are the evaluation functionals on X. A bounded linear functional on a C -algebra A is said to be self-adjoint if it is real-valued on the self-adjoint elements of A. Self-adjoint functionals are noncommutative analogues of signed measures. 80 pp. Englisch. Codice articolo 9786131245145
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State (Functional Analysis) : Functional Analysis, C\*-Algebra, Positive Linear Functional, Operator Norm, Convex Set, Probability Measure
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In functional analysis, a state on a C -algebra is a positive linear functional of norm 1. The set of states of a C -algebra A, sometimes denoted by S(A), is always a convex set. The extremal points of S(A) are called pure states. If A has a multiplicative identity, S(A) is compact in the weak -topology. In the C -algebraic formulation of quantum mechanics, states in this previous sense correspond to physical states, i.e. mappings from physical observables to their expected measurement outcome.States can be viewed as noncommutative generalizations of probability measures. By Gelfand representation, every commutative C -algebra A is of the form C0(X) for some locally compact Hausdorff X. In this case, S(A) consists of positive Radon measures on X, and the pure states are the evaluation functionals on X. A bounded linear functional on a C -algebra A is said to be self-adjoint if it is real-valued on the self-adjoint elements of A. Self-adjoint functionals are noncommutative analogues of signed measures. Codice articolo 9786131245145
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State (Functional Analysis) | Functional Analysis, C*-Algebra, Positive Linear Functional, Operator Norm, Convex Set, Probability Measure
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Taschenbuch. Condizione: Neu. State (Functional Analysis) | Functional Analysis, C*-Algebra, Positive Linear Functional, Operator Norm, Convex Set, Probability Measure | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131245145 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Codice articolo 113286995
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State (Functional Analysis)
Editore:
Omniscriptum Mär 2026, 2026
ISBN 10: 6131245142
ISBN 13: 9786131245145
Nuovo
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In functionalanalysis, a state on a C\*-algebra is a positive linear functional ofnorm 1. The set of states of a C\*-algebra A, sometimes denoted by S(A)is always a convex set. The extremal points of S(A) are called purestates. If A has a multiplicative identity, S(A) is compact in theweak\*-topology. In the C\*-algebraic formulation of quantum mechanicsstates in this previous sense correspond to physical states, i.e.mappings from physical observables to their expected measurementoutcome.States can be viewed as noncommutative generalizations ofprobability measures. By Gelfand representation, every commutativeC\*-algebra A is of the form C0(X) for some locally compact Hausdorff X.In this case, S(A) consists of positive Radon measures on X, and thepure states are the evaluation functionals on X. A bounded linearfunctional on a C\*-algebra A is said to be self-adjoint if it isreal-valued on the self-adjoint elements of A. Self-adjoint functionalsare noncommutative analogues of signed measures.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 80 pp. Englisch. Codice articolo 9786131245145
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