13 citations · 16 across the 17 of their papers we have counts for
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Modular Welch Bounds with Applications
K. Mahesh Krishna
We prove the following two results. \begin{enumerate} \item Let be a unital commutative C*-algebra and be the standard Hilbert C*-module over $\mathca…
Commutators Close to the Identity in Unital C*-Algebras
K. Mahesh Krishna, P. Sam Johnson
Let be an infinite dimensional Hilbert space and be the C*-algebra of all bounded linear operators on , equipped with the oper…
The noncommutative inequality for Hilbert C*-modules and the exact constant
K. Mahesh Krishna, P. Sam Johnson
Let be a unital C*-algebra. Then the theory of Hilbert C*-modules tells that \begin{align*} \sum_{i=1}^{n}(a_ia_i^*)^\frac{1}{2}\leq \sqrt{n} \left(\sum_{i=1}^{n}a_ia…
Extension of frames and bases - I
K. Mahesh Krishna, P. Sam Johnson
We extend the theory of operator-valued frames (resp. bases), hence the theory of frames (resp. bases), for Hilbert spaces and Hilbert C*-modules, in two folds. This extension lead…