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Harmonic Analysis of Operators on Hilbert Space

- B. Szőkefalvi-Nagy, C. Foias, H. Bercovici, L. Kérchy
- Mathematics
- 1970

Contractions and Their Dilations.- Geometrical and Spectral Properties of Dilations.- Functional Calculus.- Extended Functional Calculus.- Operator-Valued Analytic Functions.- Functional Models.-… Expand

STABLE LAWS AND DOMAINS OF ATTRACTION IN FREE PROBABILITY THEORY

- H. Bercovici, V. Pata, P. Biane
- Mathematics
- 1 May 1999

In this paper we determine the distributional behavior of sums of free (in the sense of Voiculescu) identically distributed, inflnitesimal random variables. The theory is shown to parallel the… Expand

A new approach to subordination results in free probability

- S. Belinschi, H. Bercovici
- Mathematics
- 1 March 2007

We show that the subordination results of D. Voiculescu and Ph. Biane can be deduced from a continuity property of fixed points for analytic functions.

Operator Theory and Arithmetic in

- H. Bercovici
- Mathematics
- 1988

An introduction to dilation theory The class $C_0$ Classification theory Applications of Jordan models Characteristic functions and the class $C_0$ Weak contractions Fredholm theory Miscellaneous… Expand

Superconvergence to the central limit and failure of the Cramér theorem for free random variables

- H. Bercovici, D. Voiculescu
- Mathematics
- 1 June 1995

SummaryWe show that convergence of the semicircle law in the free central limit theorem for bounded random variables is much better than expected. Thus, the distributions which tend to the semicircle… Expand

Dual Algebras with Applications to Invariant Subspaces and Dilation Theory

- H. Bercovici, C. Foias, C. Pearcy
- Mathematics
- 31 December 1985

Dual algebras Simultaneous systems of equations in the predual of a dual algebra The properties $X_{\theta, \gamma}$ and the properties $(\mathbf A_n)$ Singly generated dual algebras Dilation theory… Expand

Partially defined semigroups relative to multiplicative free convolution

- S. Belinschi, H. Bercovici
- Mathematics
- 2005

Lévy-Hinčin type theorems for multiplicative and additive free convolution.

- H. Bercovici, D. Voiculescu
- Mathematics
- 1 April 1992

We give a description of infinitely divisible compactly supported probability measures relative to the multiplicative free convolutions on the positive half-line and on the unit circle. A new proof… Expand

HYPER-REFLEXIVITY AND THE FACTORIZATION OF LINEAR FUNCTIONALS

- H. Bercovici
- Mathematics
- 10 September 1998

Abstract It is shown that hyper-reflexivity of a space of linear operators on a Hilbert space follows from a factorization property of linear functionals continuous in the weak operator topology.… Expand

A spectral commutant lifting theorem

- H. Bercovici, C. Foias, A. Tannenbaum
- Mathematics
- 1 February 1991

©1991 American Mathematical Society. First published in Transactions of the American Mathematical Society, Vol. 325, No. 2, June 1991 by the American Mathematical Society

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