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arXiv · 2209.13368

Isometric, symmetric and isosymmetric commuting $d$-tuples of Banach space operators

Bhagwati Prashad Duggal·In Hyun Kim
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Abstract

Generalising the definition to commuting $d$-tuples of operators, a number of authors have considered structural properties of $m$-isometric, $n$-symmetric and $(m,n)$-isosymmetric commuting $d$-tuples in the recent past. This note is an attempt to take the mystique out of this extension and show how a large number of these properties follow from the more familiar arguments used to prove the single operator version of these properties.

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Bhagwati Prashad Duggal, In Hyun Kim. 2022-09-27. Isometric, symmetric and isosymmetric commuting $d$-tuples of Banach space operators. https://doi.org/10.1007/s00025-023-01855-0

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