11 citations · 19 across the 6 of their papers we have counts for
7 papers
Operator algebras associated with graphs and categories of paths: a Survey
Juliana Bukoski, Sushil Singla
Many interesting examples of operator algebras, both self-adjoint and non-self-adjoint, can be constructed from directed graphs. In this survey, we overview the construction of $C^…
A distance formula for tuples of operators
Priyanka Grover, Sushil Singla
For a tuple of operators , is defined as $\min\limits_{\boldsymbol{z} \in \mathbb C^d}…
Interpolation Polynomials and Linear Algebra
Askold Khovanskii, Sushil Singla, Aaron Tronsgard
We reconsider the theory of Lagrange interpolation polynomials with multiple interpolation points and apply it to linear algebra. For instance, be a linear operator satisfying…
Subdifferential set of the joint numerical radius of a tuple of matrices
Priyanka Grover, Sushil Singla
An expression for the subdifferential set of the joint numerical radius of a tuple of matrices is obtained. Its applications to the Birkhoff-James orthogonality in the space consis…
Best approximations, distance formulas and orthogonality in C*-algebras
Priyanka Grover, Sushil Singla
For a unital -algebra and a subspace of , a characterization for a best approximation to an element of in is ob…
Gateaux derivative of C* norm
Sushil Singla
We find an expression for Gateaux derivative of the -algebra norm. This gives us alternative proofs or generalizations of various known results on the closely related notions…
Birkhoff-James orthogonality and applications : A survey
Priyanka Grover, Sushil Singla
In the last few decades, the concept of Birkhoff-James orthogonality has been used in several applications. In this survey article, the results known on the necessary and sufficien…