Numerical invariants for commuting isometric Pairs

Wei He; Yueshi Qin; Rongwei Yang

doi:10.1512/iumj.2015.64.5409

Numerical invariants for commuting isometric Pairs

Wei He
, Yueshi Qin
, Rongwei Yang

Mathematics and Statistics

University at Albany

Southeast University, Nanjing
Chongqing University

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The fringe operator and the defect operator are defined for commuting isometric pairs (V₁,V₂). Through an analysis on their relationship, as well as the structure of the defect operator, some numerical invariants for the commuting isometric pair (V₁,V₂) are obtained. A new criterion is given to classify commuting isometric pairs, namely, the congruence relation. It turns out that, in many interesting cases, the congruence relation can be determined by a pair of nonnegative integers.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Indiana University Mathematics Journal
Volume	64
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2015.64.5409
State	Published - 2015

Keywords

Commuting isometric pair
Congruence relation
Defect operator
Fringe operator

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10.1512/iumj.2015.64.5409

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KW - Commuting isometric pair

KW - Congruence relation

KW - Defect operator

KW - Fringe operator

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JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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Numerical invariants for commuting isometric Pairs

Abstract

Keywords

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