An answer to a question of A. Lubin: The lifting problem for commuting subnormals

Lee Sang Hoon<sup>*</sup>; Lee Woo Young; Yoon Jasang

doi:10.1007/s11856-017-1587-7

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An answer to a question of A. Lubin: The lifting problem for commuting subnormals

作者：Lee Sang Hoon^*; Lee Woo Young; Yoon Jasang

来源：Israel Journal of Mathematics, 2017, 222(1): 201-222.

DOI：10.1007/s11856-017-1587-7

摘要

In this paper, we give an answer to a long-standing open question on the lifting problem for commuting subnormals (due to A. Lubin): The subnormality for the sum of commuting subnormal operators does not guarantee the existence of commuting normal extensions.