Wold decomposition for doubly commuting isometries

2013/04/28 by Jaydeb Sarkar, Sarkar, Jaydeb · 3 citations
Mathematics · #47A13 #47A15 #47A20 #47L99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1304.7454

openalex publication_date 2013/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain a complete description of the class of n-tuples (n >= 2) of doubly commuting isometries. In particular, we present a several variables analogue of the Wold decomposition for isometries on Hilbert spaces. Our main result is a generalization of M. Slocinski's Wold-type decomposition of a pair of doubly commuting isometries.

Cited by

• Multivariable Wold-Type Decomposition and Analytic Models for a class of left-inverse commuting pairs
• Moment kernels, nested defects, and Cuntz dilations
• Random Operator-Valued Kernels and Moment Dilations

Related

• Wold-type decomposition for Doubly commuting two-isometries
• Słociński-Wold decompositions for row-isometries
• Orthogonal decompositions and twisted isometries II
• Wold decomposition for representations of product systems of C*-correspondences
• Wold decomposition for isometries with equal range