A. Karn

activity

20032026

most citedCompactness and an approximation property related to an operator ideal

3 citations · 8 across the 20 of their papers we have counts for

collaborators

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9 papers · 1 filter

math.OA2021

Absolute compatibility and poincaré sphere

Anil Kumar Karn

In this paper, we introduce the notion of strict projections and prove that an absolutely compatible pair of strict elements in a von Neumann algebra $M$ unitarily equiva…

math.OA2019

Orthogonality: An antidote to Kadison's anti-lattice theorem

Anil Kumar Karn

In this paper, we propose non-commutative analogues of infimum and supremum with the help of algebraic orthogonality.

math.OA2019

Absolutely compatible pair of elements in a von Neumann algebra-II

Anil Kumar Karn

Let $A$ be a unital C $^{*}$ -algebra with unity $1_{A}$ . A pair of elements $0 \leq a, b \leq 1_{A}$ in $A$ is said to be \emph{absolutely compatible} if, $\vert a - b \vert + \vert 1_A - a…

math.OA2018★ 1 cited

Contractive linear preservers of absolutely compatible pairs between C*-algebras

Nabin K. Jana, Anil K. Karn, Antonio M. Peralta

Let $a$ and $b$ be elements in the closed ball of a unital C $^{*}$ -algebra $A$ (if $A$ is not unital we consider its natural unitization). We shall say that $a$ and $b$ are domain (r…

math.OA2018

Absolutely compatibility in $M_{2}$ and ellipticity

Nabin K. Jana, Anil K. Karn

Let $a, b$ be elements in a unital C $^{*}$ -algebra with $0 \leq a, b \leq 1$ . The element $a$ is absolutely compatible with $b$ if $∣ a - b ∣ + ∣1 - a - b ∣ = 1.$ In t…

math.OA2018

Quantization of $A_{0} (K)$ -Spaces

Anindya Ghatak, Anil Kumar Karn

In this paper, we study $L^{1}$ -matrix convex sets ${K_{n}}$ in $*$ -locally convex spaces and show that every C $^{*}$ -ordered operator space is complete isometrically, completely iso…

Absolute compatibility and poincaré sphere

Orthogonality: An antidote to Kadison's anti-lattice theorem

Absolutely compatible pair of elements in a von Neumann algebra-II

Contractive linear preservers of absolutely compatible pairs between C*-algebras

Absolutely compatibility in M2​ and ellipticity

Quantization of A0​(K)-Spaces

Absolutely compatibility in $M_{2}$ and ellipticity

Quantization of $A_{0} (K)$ -Spaces