The extended eigenvalues of composition operator on Bergman space and Fock space

Fuente: arXiv
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Autor principal: Jiale, Li
Formato: Preprint
Publicado: 2024
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author Jiale, Li
author_facet Jiale, Li
contents A complex scalar k is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=kXA. There are some solutions to the problem of computing the extended eigenvalues for composition operators induced on the Fock space and Bergman space by linear fractional transformationsof the complex plane in this paper.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18748
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The extended eigenvalues of composition operator on Bergman space and Fock space
Jiale, Li
Functional Analysis
A complex scalar k is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=kXA. There are some solutions to the problem of computing the extended eigenvalues for composition operators induced on the Fock space and Bergman space by linear fractional transformationsof the complex plane in this paper.
title The extended eigenvalues of composition operator on Bergman space and Fock space
topic Functional Analysis
url https://arxiv.org/abs/2403.18748