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A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This generalizes several existing results of the unitary equivalence of two (multi
Externí odkaz:
http://arxiv.org/abs/2401.12144
Let $\mathcal U(d)$ be the group of $d\times d$ unitary matrices. We find conditions to ensure that a $\mathcal U(d)$-homogeneous $d$-tuple $\boldsymbol T$ is unitarily equivalent to multiplication by the coordinate functions on some reproducing kern
Externí odkaz:
http://arxiv.org/abs/2201.13228
Let $\Omega$ be an irreducible bounded symmetric domain of rank $r$ in $\mathbb C^d.$ Let $\mathbb K$ be the maximal compact subgroup of the identity component $G$ of the biholomorphic automorphism group of the domain $\Omega$. The group $\mathbb K$
Externí odkaz:
http://arxiv.org/abs/2002.01298
We systematically study various aspects of operator-valued multishifts. Beginning with basic properties, we show that the class of multishifts on the directed Cartesian product of rooted directed trees is contained in that of operator-valued multishi
Externí odkaz:
http://arxiv.org/abs/1904.00983
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Recently, Hartz proved that every commuting contractive classical multishift with non-zero weights satisfies the matrix-version of von Neumann's inequality. We show that this result does not extend to the class of commuting operator-valued multishift
Externí odkaz:
http://arxiv.org/abs/1805.03547
Autor:
Ghara, Soumitra, Kumar, Surjit
We show, by means of a class of examples, that if $K_1$ and $K_2$ are two positive definite kernels on the unit disc such that the multiplication by the coordinate function on the corresponding reproducing kernel Hilbert space is subnormal, then the
Externí odkaz:
http://arxiv.org/abs/1703.02792
Akademický článek
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Autor:
Ghara, Soumitra, Kumar, Surjit
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 January 2019 469(2):1015-1027
Autor:
Sinha, Saurabh Kumar, Kumar, Surjit, Chandola, Rahul, Kumar, Sunny, Ramesh, C., Katiyar, Gauri
Publikováno v:
AIP Conference Proceedings; 2024, Vol. 2816 Issue 1, p1-8, 8p