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pro vyhledávání: '"Sahasrabuddhe, Prajakta"'
A tuple $\underline{T}=(T_1, \dotsc, T_k)$ of operators on a Hilbert space $\mathcal H$ is said to be \textit{$q$-commuting with} $\|q\|=1$ or simply $q$-\textit{commuting} if there is a family of scalars $q=\{q_{ij} \in \mathbb C : |q_{ij}|=1, \ q_{
Externí odkaz:
http://arxiv.org/abs/2410.16134
We generalize regular unitary dilation and Brehmer's positivity condition to $q$-commuting tuples of contractions.
Comment: This is a first draft and will be revised soon
Comment: This is a first draft and will be revised soon
Externí odkaz:
http://arxiv.org/abs/2408.10232
The notions of joint and outer spectral radii are extended to the setting of Hilbert $C^*$-bimodules. A Rota-Strang type characterisation is proved for the joint spectral radius. In this general setting, an approximation result for the joint spectral
Externí odkaz:
http://arxiv.org/abs/2405.15009
In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to $Q$-commuting contractions. Here we mainly deal with $Q$-commuting and doubly $Q$-com
Externí odkaz:
http://arxiv.org/abs/2211.01530
Autor:
Pal, Sourav, Sahasrabuddhe, Prajakta
There are several proofs of the classical commutant lifting and intertwining lifting theorems in the literature. In this article, we present analogous proofs to a few $Q$-commuting lifting and $Q$-intertwining lifting theorems. We provide several pro
Externí odkaz:
http://arxiv.org/abs/2210.12848
Autor:
Pal, Sourav, Sahasrabuddhe, Prajakta
For commuting contractions $T_1,\dots ,T_n$ acting on a Hilbert space $\mathcal H$ with $T=\prod_{i=1}^n T_i$, we show that $(T_1, \dots, T_n)$ dilates to commuting isometries $(V_1, \dots , V_n)$ on the minimal isometric dilation space of $T$ with $
Externí odkaz:
http://arxiv.org/abs/2205.09093
Autor:
Pal, Sourav, Sahasrabuddhe, Prajakta
For commuting contractions $T_1,\dots ,T_n$ acting on a Hilbert space $\mathcal H$ with $T=\prod_{i=1}^n T_i$, we find a necessary and sufficient condition under which $(T_1,\dots ,T_n)$ dilates to commuting isometries $(V_1,\dots ,V_n)$ on the minim
Externí odkaz:
http://arxiv.org/abs/2204.11391
Consider a nonzero contraction $T$ and a bounded operator $X$ satisfying $TX=qXT$ for a complex number $q$. There are some interesting results in the literature on $q$-commuting dilation and $q$-commutant lifting of such pair $(T,X)$ when $|q|=1$. He
Externí odkaz:
http://arxiv.org/abs/2202.07213
Publikováno v:
In Linear Algebra and Its Applications 1 February 2023 658:186-205
In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to q-commuting contractions. Here we mainly deal with doubly q-commuting contractions wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::116d62996199042cf7a03d3fd469f4bb
http://arxiv.org/abs/2211.01530
http://arxiv.org/abs/2211.01530