Rajeev Gupta

activity

20162020

collaborators

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5 papers · 1 filter

math.FA2020

Dirichlet-type spaces on the unit ball and joint 2-isometries

Sameer Chavan, Rajeev Gupta, Md. Ramiz Reza

We obtain a formula that relates the spherical moments of the multiplication tuple on a Dirichlet-type space to a complex moment problem in several variables. This can be seen as t…

math.FA2019

Unitary equivalence of operator-valued multishifts

Rajeev Gupta, Surjit Kumar, Shailesh Trivedi

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…

math.FA2018

Weighted Join Operators on Directed Trees

Sameer Chavan, Rajeev Gupta, Kalyan B. Sinha

A rooted directed tree $T = (V, E)$ with can be extended to a directed graph $T_{\infty} = (V_{\infty}, E_{\infty})$ by adding a vertex $\infty$ to $V$ and declaring each v…

math.FA2018

Von Neumann's inequality for commuting operator-valued multishifts

Rajeev Gupta, Surjit Kumar, Shailesh Trivedi

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 resul…

math.FA2016

Operator Space Structures on $ℓ^{1} (n) .$

Rajeev Gupta, Md Ramiz Reza

We show that the complex normed linear space $ℓ^{1} (n),$ $n > 1,$ has no isometric embedding into $k \times k$ complex matrices for any $k \in N$ and discuss a class of infin…

Dirichlet-type spaces on the unit ball and joint 2-isometries

Unitary equivalence of operator-valued multishifts

Weighted Join Operators on Directed Trees

Von Neumann's inequality for commuting operator-valued multishifts

Operator Space Structures on ℓ1(n).

Operator Space Structures on $ℓ^{1} (n) .$