POSITIVE MAPS ON OPERATOR ALGEBRAS AND QUANTUM MARKOV SEMIGROUPS An introductory course with application in quantum mechanics
نویسنده
چکیده
1 Fundamentals of the Theory of Banach Algebras 2 1.1 Basic definitions and notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 The spectrum and the resolvent set . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Properties of the inverse function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Characters and the Gelfand Transform . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.5 Characters and spectrum in commutative Banach algebras . . . . . . . . . . . . . . . 13
منابع مشابه
OPERATOR ALGEBRAS AND NON-COMMUTATVE ANALYSIS: An introductory course with application in quantum mechanics
We give an elementary introduction to the subject of operator algebras and non-commutative analysis with the emphasis on material related to a number of open problems arising from quantum mechanics.
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