Amit Kumar

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20192022

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4 papers · 1 filter

math.FA2022

$K_{1}$ and $K$ -groups of absolute matrix order unit spaces

Amit Kumar

In this paper, we describe the Grothendieck groups $K_{1} (V)$ and $K (V)$ of an absolute matrix order unit space $V$ for unitary and partial unitary elements respectively. For this pu…

math.FA2021

$K_{0}$ -group of absolute Matrix order unit spaces

Anil Kumar Karn, Amit kumar

In this paper, we describe the Grothendieck group $K_{0} (V)$ of an absolute matrix order unit space $V$ . For this purpose, we discuss the direct limit of absolute matrix order unit s…

math.FA2019

Partial isometries in an absolute order unit space

Anil Kumar Karn, Amit kumar

In this paper, we extend the notion of orthogonality to the general elements of an absolute matrix order unit space and relate it to the orthogonality among positive elements. We i…

math.FA2019

Isometries of absolute order unit spaces

Anil Kumar Karn, Amit kumar

We prove that for a bijective, unital, linear map between absolute order unit spaces is an isometry if, and only if, it is absolute value preserving. We deduce that, on (unital) $J…

K1​ and K-groups of absolute matrix order unit spaces

K0​-group of absolute Matrix order unit spaces

Partial isometries in an absolute order unit space

Isometries of absolute order unit spaces

$K_{1}$ and $K$ -groups of absolute matrix order unit spaces

$K_{0}$ -group of absolute Matrix order unit spaces