论文标题

等距,对称和异型通勤$ d $ d $ tublass of Banach太空运营商

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

论文作者

Duggal, Bhagwati Prashad, Kim, In Hyun

论文摘要

将$ d $ d $ tumplass的定义推广到运营商的$ d $ thuplate,许多作者都认为$ m $ - iSometric,$ n $ symmetric和$(m,n)$ - 同质通勤$ d $ d $ - tuples的结构性属性。该注释是试图将神秘的尝试从此扩展程序中取出,并显示出大量这些属性如何从用于证明这些属性的单一操作员版本的更熟悉的参数中遵循。

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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