PAIRS OF PROJECTIONS AND COMMUTING ISOMETRIES
Article Type
Research Article
Publication Title
Journal of Operator Theory
Abstract
The non-zero part of compact defect operators of Berger–Coburn–Lebow pairs (BCL pairs) of isometries are diagonal operators of the form (Formula presented.). We discuss the question of constructing an irreducible BCL pair from a diagonal operator of the above type. The answer is sometimes yes, sometimes no. This also partially addresses the question of He, Qin, and Yang. Our explicit constructions of BCL pairs yield concrete examples of pairs of commuting isometries.
First Page
261
Last Page
294
DOI
10.7900/jot.2022apr19.2370
Publication Date
1-1-2024
Recommended Citation
De, Sandipan; Sarkar, Jaydeb; Shankar, P.; and Sankar, T. R., "PAIRS OF PROJECTIONS AND COMMUTING ISOMETRIES" (2024). Journal Articles. 4978.
https://digitalcommons.isical.ac.in/journal-articles/4978