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Operator Algebras link(s):
Operator Algebras in Regina (Operator systems)
Some of the important topics:
Operator Space Theory, G. Pisier
Quantum Information Theories V. Paulsen
Motivation for RKHS- Davidson
Motivation of Dilation- Davidson
Model Space- Garcia
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My favourite books:
Completely bounded maps and operator algebras, Paulsen.
Harmonic Analysis and Operator on Hilbert spaces, Ng-Foias.
Introduction to model spaces and their operators.
C*-algebras by Examples, K. R. Davidson.
An Introduction to Quantum Probability and Stochastic calculus, K. R. Parthasarathy. .
Lectures on von-Neumann Algebras, Stratila.
Operator spaces, Ruan.
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Academic:
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Moment problems (MVOT, Function theory, Real algebraic geometry)
K. Schmudgen, F . H. Vasilescu
R. Curto, Fialkow
Putinir, Helton, McCulloughi
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NC-function theory, MVOT, Non self-adjoint OA
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Halmos, Sarason, Aglar, McCarthy,
D. Timotin, J. Sarkar, R. Yang, Orr Shalit, M. Hartz,
Aleman, Alexandru, Richter, Stefan
Ransford, Thomas J.
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Quantum dynamical semigroups
BVR Bhat-Skeide, Solel-Muhly, Shalit, (Dilation)
Arveson--Powers
Fagnola, Skeide, Wills, Lindsay (Quantum Probability)
A. Nica, Pimsner, Michael V, Raeburn, Iain
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Weblink for some:
(Moment Problem) http://poema-network.eu/meeting/courses-by-mihai-putinar-university-of-california-at-santa-barbara
Dilation Theory (Davidson)
Dilation Theory (Michel Hartz)
Unbounded representation: S. Schmudgen
Ternary Domain: Mariya Joita
von Neuman module: M. Skeide
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