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학술저널

BACKWARD EXTENSION OF SUBNORMAL 2-VARIABLE WEIGHTED SHIFTS

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We study backward extensions of 2-variable weighted shifts with finite atomic Berger measure. We provide a necessary and sufficient condition for the subnormality of such extensions. As an application, we give a simple counterexample for the Curto-Muhly-Xia conjecture [10].

1. Introduction

2. Main results

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