A Fock space model for addition and multiplication of c-free random variables
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Abstract:
The paper presents a Fock space model suitable for construction of c-free algebras. Immediate applications are direct proofs for the properties of the c-free $R$- and $S$-transforms.References
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Additional Information
- Mihai Popa
- Affiliation: Center for Advanced Studies in Mathematics, Ben Gurion University of the Negev, P. O. Box 653, Be’er Sheva 84105, Israel; and Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P. O. Box 1-764, Bucharest, RO-70700, Romania
- Address at time of publication: Department of Mathematics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, Texas 78249-0664; and Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P. O. Box 1-764, Bucharest, RO-70700, Romania
- Email: Mihai.Popa@utsa.edu
- Received by editor(s): February 17, 2011
- Received by editor(s) in revised form: March 24, 2012
- Published electronically: February 27, 2014
- Communicated by: Marius Junge
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 2001-2012
- MSC (2010): Primary 46L54, 30H20
- DOI: https://doi.org/10.1090/S0002-9939-2014-11786-2
- MathSciNet review: 3182019