Powers and direct sums

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:413

Article

Conway, John B.¹  Prajitura, Gabriel²  Rodriguez-Martinez, Alejandro³ 

[1] George Washington Univ, Washington, DC 20052 USA

[2] SUNY Coll Brockport, Brockport, NY USA

[3] Khalifa Univ Sci Technol & Res, Abu Dhabi, U Arab Emirates

关键词: Hilbert space;    Normal operators;    Weighted shifts;    Multiplicity;   

DOI  :  10.1016/j.jmaa.2013.12.007

来源: Elsevier

【 摘 要 】

This paper investigates when a bounded operator on Hilbert space has the property that its square is similar to to the direct sum of it with itself. A few general results are obtained and the normal operators and unilateral shifts having this property are characterized. Several additional examples are explored. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free