P. S. Johnson

activity

20182022

most citedDilation theorem for p-approximate Schauder frames for separable Banach spaces

2 citations · 6 across the 18 of their papers we have counts for

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3 papers · 1 filter

math.OA2021

Commutators Close to the Identity in Unital C*-Algebras

K. Mahesh Krishna, P. Sam Johnson

Let $H$ be an infinite dimensional Hilbert space and $B (H)$ be the C*-algebra of all bounded linear operators on $H$ , equipped with the oper…

math.OA2020

The noncommutative $ℓ_{1} - ℓ_{2}$ inequality for Hilbert C*-modules and the exact constant

K. Mahesh Krishna, P. Sam Johnson

Let $A$ 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…

math.OA2018

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…

Commutators Close to the Identity in Unital C*-Algebras

The noncommutative ℓ1​−ℓ2​ inequality for Hilbert C*-modules and the exact constant

Extension of frames and bases - I

The noncommutative $ℓ_{1} - ℓ_{2}$ inequality for Hilbert C*-modules and the exact constant