Priyanka Grover

activity

20152026

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

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

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6 papers · 1 filter

math.FA2026

Properties of best approximations with respect to the Ky Fan $p$ - $k$ norm, and the strict spectral approximant of a matrix

Priyanka Grover, Krishna Kumar Gupta

Some questions raised in [K. Ziętak, {\it From the strict Chebyshev approximant of a vector to the strict spectral approximant of a matrix}, Warsaw : Banach Center Publ., 112 Polis…

math.FA2025

Subdifferential of the $B (H, K)$ norm, and approximate orthogonality

Priyanka Grover, Krishna Kumar Gupta, Susmita Seal

We present an expression for the right hand derivative of the $B (H, K)$ norm generalizing the result for $K = H$ in [D. J. Ke $c ˇ$ ki$\grav…

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.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.