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Keyword: SVEP (2)	2 Apr 2025	Run
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articleNo Access
On $n$ -quasi- $m$ -isometric operators
- Salah Mecheri and
- T. Prasad
Asian-European Journal of Mathematics28 Nov 2016
Preview Abstract
We introduce the class of $n$ -quasi- $m$ -isometric operators on Hilbert space. This generalizes the class of $m$ -isometric operators on Hilbert space introduced by Agler and Stankus. An operator $T \in B (H)$ is said to be $n$ -quasi- $m$ -isometric if
$T^{* n} (\sum_{k = 0}^{m} {(- 1)}^{k} (\begin{matrix} m \\ k \end{matrix}) T^{* m - k} T^{m - k}) T^{n} = 0 .$
In this paper $2 \times 2$ matrix representation of a $n$ -quasi- $m$ -isometric operator is given. Using this representation we establish some basic properties of this class of operators.
articleNo Access
Property (Sw) for bounded linear operators
- M. H. M. Rashid and
- T. Prasad
Asian-European Journal of Mathematics01 Mar 2015
Preview Abstract
In this paper, we define new variant of Weyl type theorems property (Sw) and the Browder version of property (Sw). We also obtain the inclusion relation among these new properties.

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