MATEMATIČKI VESNIK, Vol. 69, No. 1, pp. 1

MATEMATIČKI VESNIK
Vol. 69, No. 1, pp. 1–11 (2017)

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Composition operators and their products on $L^{2} (Σ)$

M. R. Jabbarzadeh and S. Karimi

Faculty of Mathematical Sciences, University of Tabriz, P.O.Box: 5166615648, Tabriz, Iran E-mail: mjabbar@tabrizu.ac.ir, skarimi89@yahoo.com

Abstract: The paper gives measure-theoretic characterizations of classical properties of composition operators and their products on $L^{2} (Σ)$ such as complex symmetric and semi-Kato type operators.

Keywords: Kato operator; conditional expectation; composition operator; multiplication operator; polar decomposition; closed range.

Classification (MSC2000): 47B20; 47B38

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Electronic fulltext finalized on: 29 Dec 2016. This page was last modified: 10 Jan 2017.

© 2016 Mathematical Society of Serbia (Društvo matematičara Srbije)
© 2016–2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

Composition operators and their products on L 2 (Σ)

M. R. Jabbarzadeh and S. Karimi

Composition operators and their products on $L^{2} (Σ)$