Journal of Operator Theory

Volume 93, Issue 1, Winter 2025 pp. 217-228.

Doubly commuting and dual doubly commuting semigroups of isometries

Authors: Tirthankar Bhattacharyya (1), Shubham Rastogi (2), Vijaya Kumar U. (3)
Author institution: (1) Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India
(2) Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India
(3) Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India

Summary: Structures of commuting semigroups of isometries under certain additional assumptions like double commutativity or dual double commutativity are found.

DOI: http://dx.doi.org/10.7900/jot.2023jan28.2425
Keywords: the shift semigroup, isometric semigroups, doubly commuting, dual doubly commuting

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