Seminormal composition operators on L2 spaces induced by matrices: The Laplace density case

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:375

Article

Stochel, Jan¹  Stochel, Jerzy Bardomiej² 

[1] Uniwersytet Jagiellonski, Inst Matemat, PL-30348 Krakow, Poland

[2] AGH Sci & Technol Univ, Fac Appl Math, PL-30059 Krakow, Poland

关键词: Composition operator on L-2 space;    Subnormal operator;    Hyponormal operator;   

DOI  :  10.1016/j.jmaa.2010.08.022

来源: Elsevier

【 摘 要 】

Bounded composition operators with matrix symbols on L-2 (mu), where mu is a positive Borel measure with a Laplace type density function on the d-dimensional Euclidean space, are studied. Hyponormality and subnormality of adjoints of such operators are characterized explicitly in terms of their symbols. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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