PAIRS OF COMMUTING PURE CONTRACTIONS AND ISOMETRIC DILATION

Sarkar, S (2024) PAIRS OF COMMUTING PURE CONTRACTIONS AND ISOMETRIC DILATION. In: Journal of Operator Theory, 92 (1). pp. 49-76.

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Abstract

In this paper, we study the question: does a pair of commuting pure contractions always dilate to a pair of commuting pure isometries? We report certain progress by proving that pairs of commuting pure contractions with finite dimensional defect spaces and pairs of commuting pure partial isometries always dilate to pairs of commuting pure isometries. Our method is based on an explicit structure of isometric dilation for pure pairs of commuting contractions obtained recently by B.K. Das, J. Sarkar, S. Sarkar, Adv. Math. 322(2017), 186�200. © Copyright by THETA, 2024

Item Type:	Journal Article
Publication:	Journal of Operator Theory
Publisher:	Theta Foundation
Additional Information:	The copyright for this article belongs to the publisher.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	12 Sep 2024 08:52
Last Modified:	12 Sep 2024 08:52
URI:	http://eprints.iisc.ac.in/id/eprint/86136

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