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C*-algebras, spaces of operators, trace duality, von Neumann algebras.
Last update: T_KMA (02.05.2013)
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Předmět je zakončen zkouškou. Last update: Spurný Jiří, prof. RNDr., Ph.D., DSc. (06.10.2017)
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Fillmore, P. A.: A user's guide to operator algebras, John Wiley & Sons, Inc., New York, 1996 Kadison, R. V., Ringrose, J. R.: Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Reprint of the 1983 original, American Mathematical Society, Providence, RI, 1997 Kadison, R. V., Ringrose, J. R.: Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Corrected reprint of the 1986 original, American Mathematical Society, Providence, RI, 1997 Meise R., Vogt D. : Introduction to functional analysis, Oxford University Press, New York, 1997
Last update: T_KMA (02.05.2013)
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Zkouška bude ústní formou v rozsahu odpřednesené látky. Last update: Spurný Jiří, prof. RNDr., Ph.D., DSc. (06.10.2017)
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C* algebras - definition, properties, automatic continuity, positive elements, approximate unit, basic properties of spaces of operators, operator topologies, duality, von Neumann algebras, von Neumann bicommutant theorem, Kaplansky density theorem Last update: T_KMA (25.04.2013)
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A sound knowledge of functional analysis (Banach and Hilbert spaces, bounded linear operators) and general topology (including compactness). Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (23.05.2019)
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