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

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Showing 2012Show all

3 papers · 1 filter

math.FA2012

Orthogonality in $ℓ_{p}$ -spaces and its bearing on ordered Banach spaces

Anil Kumar Karn

We introduce a notion of p-orthogonality in a general Banach space $1 \leq p \leq \infty$ . We use this concept to characterize $ℓ_{p}$ -spaces among Banach spaces and also among comp…

math.FA2012★ 1 cited

An operator summability of sequences in Banach spaces

Anil Kumar Karn, Deba Prasad Sinha

Let $1 \leq p < \infty$ . A sequence $\lef x_n \rig$ in a Banach space $X$ is defined to be $p$ -operator summable if for each $\lef f_n \rig \in l^{w^*}_p(X^*)$, we have $\lef \lef f…

math.FA2012★ 3 cited

Compactness and an approximation property related to an operator ideal

Anil Kumar Karn, Deba Prasad Sinha

For an operator ideal $A$ , we study the composition operator ideals $A \circ K$ , $K \circ A$ and ${\mathcal K}\circ{\mathcal A}\cir…

Orthogonality in ℓp​-spaces and its bearing on ordered Banach spaces

An operator summability of sequences in Banach spaces

Compactness and an approximation property related to an operator ideal

Orthogonality in $ℓ_{p}$ -spaces and its bearing on ordered Banach spaces