On Invertible m-isometrical Extension of an m-isometry-Reference-Cited by-同舟云学术

On Invertible m-isometrical Extension of an m-isometry

Published:2022-10-19 Issue:6 Volume:77 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Bermúdez T.,Martinón A.,Müller V.,Zaway H.

Abstract

AbstractWe give necessary and sufficient conditions on an m-isometry to have an invertible m-isometrical extension. As particular cases, we give a useful characterization for a general m-isometrical unilateral weighted shift and for

$$\ell $$

ℓ -Jordan isometries. In particular, every

$$\ell $$

ℓ -Jordan isometry operator has an invertible

$$(2\ell -1)$$

( 2 ℓ - 1 ) -isometrical extension.

Funder

Ministerio de Ciencia e Innovación

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-022-01765-7.pdf

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