Zobrazeno 1 - 10
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pro vyhledávání: '"Popescu, Gelu"'
Autor:
Popescu, Gelu
The goal of this paper is to study the structure of noncommutative weighted shifts, their properties, and to understand their role as models (up to similarity) for $n$-tuples of operators on Hilbert spaces as well as their implications to function th
Externí odkaz:
http://arxiv.org/abs/2404.09084
Autor:
Popescu, Gelu
Let B(H) be the algebra of all bounded linear operators on a Hilbert space H. The main goal of the paper is to find large classes of noncommutative domains in B(H) with prescribed universal operator models, acting on the full Fock space with n genera
Externí odkaz:
http://arxiv.org/abs/2404.09072
Autor:
Popescu, Gelu
In a recent paper, we introduced and studied the class of admissible noncommutative domains $D_{g^{-1}}(H)$ in $B(H)^n$ associated with admissible free holomorphic functions $g$ in noncommutative indeterminates $Z_1,\ldots, Z_n$. Each such a domain a
Externí odkaz:
http://arxiv.org/abs/2404.09073
Autor:
Popescu, Gelu
We obtain a noncommutative multivariable analogue of Louhichi and Olofsson characterization of Toeplitz operators with harmonic symbols on the weighted Bergman space $A_m({\bf D})$, as well as Eschmeier and Langendorfer extension to the unit ball of
Externí odkaz:
http://arxiv.org/abs/2001.11392
Autor:
Popescu, Gelu
The goal of the present paper is to introduce and study noncommutative Hardy spaces associated with the regular $\Lambda$-polyball, to develop a functional calculus on noncommutative Hardy spaces for the completely non-coisometric (c.n.c.) $k$-tuples
Externí odkaz:
http://arxiv.org/abs/2001.11371
Autor:
Popescu, Gelu
In this paper we introduce and study the class of weighted multi-Toeplitz operators associated with noncommutative polydomains ${\bf D_f^m}$, ${\bf m}:=(m_1,\ldots, m_k)\in {\bf N}^k$, generated by $k$-tuples ${\bf f}:=(f_1,\ldots, f_k)$ of positive
Externí odkaz:
http://arxiv.org/abs/2002.00462
Autor:
Popescu, Gelu
The goal of the paper is to study the structure of the k-tuples of doubly $\Lambda$-commuting row isometries and the $C^*$-algebras they generate from the point of view of noncommutative multivariable operator theory. We obtain Wold decompositions, i
Externí odkaz:
http://arxiv.org/abs/2001.10780