Priyanka Grover

activity

20152022

most citedBest approximations, distance formulas and orthogonality in C*-algebras

6 citations · 6 across the 3 of their papers we have counts for

collaborators

5 papers

math.FA2022

Subdifferential of the joint numerical radius

Priyanka Grover, Sushil Singla

An expression for the subdifferential of the joint numerical radius is obtained. Its applications to the best approximation problems in the joint numerical radius are discussed.

math.OA2021★ 6 cited

Best approximations, distance formulas and orthogonality in C*-algebras

Priyanka Grover, Sushil Singla

For a unital $C^{*}$ -algebra $A$ and a subspace $B$ of $A$ , a characterization for a best approximation to an element of $A$ in $B$ is ob…

math.FA2020

Positivity properties of some special matrices

Priyanka Grover, Veer Singh Panwar, A Satyanarayana Reddy

It is shown that for positive real numbers $0 < λ_{1} < \dots < λ_{n}$ , $[\frac{1}{β ( λ _{i} , λ _{j} )}]$ , where $β (\cdot, \cdot)$ denotes the beta function, is infinitely divisi…

math.FA2017

Orthogonality to matrix subspaces, and a distance formula

Priyanka Grover

We obtain a necessary and sufficient condition for a matrix $A$ to be Birkhoff-James orthogonal to any subspace $W$ of $M_{n} (C)$ . Using this we obtain an ex…

math.FA2015

Norm inequalities related to the matrix geometric mean

Rajendra Bhatia, Priyanka Grover

Inequalities for norms of different versions of the geometric mean of two positive definite matrices are presented.