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A NONCOMMUTATIVE ANALOGUE OF GAUSSIAN HILBERT SPACES
, 2005
"... Abstract. The paper gives analogues of some starting results in the theory of Gaussian Hilbert Spaces for semicircular distributed random variables. The transition from the commutative to the free frame is done considering matrices of increasing dimension and utilizing the AmitsurLevitzki Theorem. ..."
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Abstract. The paper gives analogues of some starting results in the theory of Gaussian Hilbert Spaces for semicircular distributed random variables. The transition from the commutative to the free frame is done considering matrices of increasing dimension and utilizing the AmitsurLevitzki Theorem
NONCOMMUTATIVE QUASIHAMILTONIAN SPACES
, 2007
"... In this paper we introduce noncommutative analogues for the quasiHamiltonian Gspaces introduced by Alekseev, Malkin and Meinrenken. We outline the connection with the noncommutative analogues of quasiPoisson algebras which the author had introduced earlier. ..."
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Cited by 8 (0 self)
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In this paper we introduce noncommutative analogues for the quasiHamiltonian Gspaces introduced by Alekseev, Malkin and Meinrenken. We outline the connection with the noncommutative analogues of quasiPoisson algebras which the author had introduced earlier.
On function theory in quantum disc: integral representations, Eprint: math.QA/9808015
"... The theory of von Neumann algebras is a noncommutative analogue of the function theory of ..."
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Cited by 15 (6 self)
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The theory of von Neumann algebras is a noncommutative analogue of the function theory of
A Noncommutative Version of the Fundamental Theorem of Asset Pricing ∗
, 2002
"... Abstract. In this note, a noncommutative analogue of the fundamental theorem of asset pricing in mathematical finance is proved. 1. ..."
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Cited by 1 (1 self)
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Abstract. In this note, a noncommutative analogue of the fundamental theorem of asset pricing in mathematical finance is proved. 1.
Bézout's Theorem for NonCommutative Projective Spaces
, 1999
"... We prove a version of B'ezout's theorem for noncommutative analogues of the projective spaces P n . 0. ..."
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Cited by 12 (7 self)
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We prove a version of B'ezout's theorem for noncommutative analogues of the projective spaces P n . 0.
Noncommutative martingale inequalities
, 1997
"... We prove the analogue of the classical BurkholderGundy inequalites for noncommutative martingales. As applications we give a characterization for an ItoClifford integral to be an Lpmartingale via its integrand, and then extend the ItoClifford integral theory in L2, developed by Barnett, Streater ..."
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Cited by 79 (11 self)
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, Streater and Wilde, to Lp for all 1 < p < ∞. We include an appendix on the noncommutative analogue of the classical Fefferman duality between H¹ and BMO.
Journal of Pure and Applied Algebra 157 (2001) 279–299 www.elsevier.com/locate/jpaa B$ezout’s theorem for noncommutative projective spaces
, 1999
"... We prove a version of B$ezout’s theorem for noncommutative analogues of the projective ..."
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We prove a version of B$ezout’s theorem for noncommutative analogues of the projective
NONCOMMUTATIVE AG MEAN INEQUALITY
, 805
"... Abstract. In this paper we consider noncommutative analogue for the arithmeticgeometric mean inequality a r b 1−r + (r − 1)b ≥ ra for two positive numbers a, b and r> 1. We show that under some assumptions the noncommutative analogue for a r b 1−r which satisfies this inequality is unique and e ..."
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Cited by 2 (2 self)
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Abstract. In this paper we consider noncommutative analogue for the arithmeticgeometric mean inequality a r b 1−r + (r − 1)b ≥ ra for two positive numbers a, b and r> 1. We show that under some assumptions the noncommutative analogue for a r b 1−r which satisfies this inequality is unique
A NONCOMMUTATIVE GENERALIZATION OF kSCHUR FUNCTIONS
, 2008
"... We introduce noncommutative analogues of kSchur functions of LapointeLascoux and Morse. We give an explicit formulas for the expansions of noncommutive functions with one and two parameters in terms of these new functions. These results are similar to the conjectures existing in the commutative ..."
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We introduce noncommutative analogues of kSchur functions of LapointeLascoux and Morse. We give an explicit formulas for the expansions of noncommutive functions with one and two parameters in terms of these new functions. These results are similar to the conjectures existing
Formal (non)commutative symplectic geometry
 THE GELFAND MATHEMATICAL SEMINARS, 1990–1992”, BIRKHÄUSER
, 1993
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Results 1  10
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