A remark on the multipliers on spaces of Weak Products of functions

Authors

Stefan Richter
Brett D. Wick, Washington University in St. LouisFollow

Author's School

Arts & Sciences

Author's Department

Mathematics

Document Type

Article

Publication Date

5-16-2016

Originally Published In

Concrete Operators. Volume 3, Issue 1, Pages 77–84, ISSN (Online) 2299-3282, DOI: 10.1515/conop-2016-0009, May 2016

Abstract

Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.

Comments

© 2016 Richter and Wick, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Originally published in Concrete Operators. Volume 3, Issue 1, Pages 77–84, ISSN (Online) 2299-3282, DOI: n10.1515/coop-2016-0009, May 2016

ORCID

http://orcid.org/0000-0003-1890-0608 [Wick]

Recommended Citation

Richter, Stefan and Wick, Brett D., "A remark on the multipliers on spaces of Weak Products of functions" (2016). Mathematics Faculty Publications. 33.
https://openscholarship.wustl.edu/math_facpubs/33