Hyponormality of Toeplitz operators on Newton spaces Hyponormality of Toeplitz operators on Newton spaces

In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator T φ to be hyponormal or normal. Additionally, we give some applications of such results...

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Published inAnnals of functional analysis Vol. 16; no. 3
Main Authors Ko, Eungil, Lee, Ji Eun, Lee, Jongrak
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2025
Subjects
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
Normal operators
47B15
47A05
47B35
Toeplitz operator
Newton polynomials
Newton space
Hyponormal operators
Online AccessGet full text
ISSN2639-7390
2008-8752
DOI10.1007/s43034-025-00423-7

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Abstract In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator T φ to be hyponormal or normal. Additionally, we give some applications of such results.
AbstractList In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator T φ to be hyponormal or normal. Additionally, we give some applications of such results.
In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator $$T_{\varphi }$$ T φ to be hyponormal or normal. Additionally, we give some applications of such results.
ArticleNumber 40
Author Lee, Jongrak
Ko, Eungil
Lee, Ji Eun
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10.1186/s13660-024-03126-0
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Keywords Normal operators
47B15
47A05
47B35
Toeplitz operator
Newton polynomials
Newton space
Hyponormal operators
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Mathematics
Mathematics and Statistics
Original Paper
Subtitle Hyponormality of Toeplitz operators on Newton spaces
Title Hyponormality of Toeplitz operators on Newton spaces
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