Problems on weighted and unweighted composition operators

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

This paper contains a collection of open problems related to composition operators and weighted composition operators acting on spaces of analytic functions, predominantly on the Hilbert Hardy space H 2 over the open unit disc. Some are related to the invariant subspaces of composition operators, some to the spectra and numerical ranges of such operators, others are related to the connection of certain weighted composition on H 2 and the unweighted composition operators on Hardy–Smirnov spaces, or the connection of composition operators with asymptotically Toeplitz operators. The problems raised are open to the knowledge of this author, and interesting, in his opinion.

Original languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Pages191-217
Number of pages27
Edition9781493976584
DOIs
StatePublished - Jan 1 2018

Publication series

NameTrends in Mathematics
Number9781493976584
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Fingerprint

Composition Operator
Weighted Composition Operator
Space of Analytic Functions
Numerical Range
Toeplitz Operator
Invariant Subspace
Hardy Space
Unit Disk
Hilbert
Open Problems
Operator

Keywords

  • Asymptotic Toeplitz operators
  • Composition operators
  • Weighted composition operators

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Matache, V. (2018). Problems on weighted and unweighted composition operators. In Trends in Mathematics (9781493976584 ed., pp. 191-217). (Trends in Mathematics; No. 9781493976584). Springer International Publishing. https://doi.org/10.1007/978-3-319-70154-7_11

Problems on weighted and unweighted composition operators. / Matache, Valentin.

Trends in Mathematics. 9781493976584. ed. Springer International Publishing, 2018. p. 191-217 (Trends in Mathematics; No. 9781493976584).

Research output: Chapter in Book/Report/Conference proceedingChapter

Matache, V 2018, Problems on weighted and unweighted composition operators. in Trends in Mathematics. 9781493976584 edn, Trends in Mathematics, no. 9781493976584, Springer International Publishing, pp. 191-217. https://doi.org/10.1007/978-3-319-70154-7_11
Matache V. Problems on weighted and unweighted composition operators. In Trends in Mathematics. 9781493976584 ed. Springer International Publishing. 2018. p. 191-217. (Trends in Mathematics; 9781493976584). https://doi.org/10.1007/978-3-319-70154-7_11
Matache, Valentin. / Problems on weighted and unweighted composition operators. Trends in Mathematics. 9781493976584. ed. Springer International Publishing, 2018. pp. 191-217 (Trends in Mathematics; 9781493976584).
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