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Related papers: Composition Operators on Haagerup $L^p$-spaces

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In this paper, we investigate Li-Yorke composition operators and some of their variations on Lorentz spaces. Further, we also study expansive composition operators on these spaces. The work of the paper is essentially based on the work in…

Functional Analysis · Mathematics 2022-08-02 Romesh Kumar , Rajat Singh

We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 $\le$ p \textless{} $\infty$.

Functional Analysis · Mathematics 2015-02-24 Daniel Li , Hervé Queffélec , Luis Rodríguez-Piazza

We investigate some types of composition operators, linear and not, and conditions for some spaces to be mapped into themselves and for the operators to satisfy some good properties.

Functional Analysis · Mathematics 2020-12-08 Emma D'Aniello , Martina Maiuriello

This paper seeks to extend the theory of composition operators on analytic functional Hilbert spaces from analytic symbols to quasiconformal ones. The focus is the boundedness but operator-theoretic questions are discussed as well. In…

Functional Analysis · Mathematics 2018-04-17 Xiang Fang , Kunyu Guo , Zipeng Wang

We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series $\HCdos$. We also show how the composition…

Functional Analysis · Mathematics 2019-03-21 Frédéric Bayart , Jaime Castillo-Medina , Domingo García , Manuel Maestre , Pablo Sevilla-Peris

We explicitly describe the Haagerup and the Kosaki non-commutative $L^p$-spaces associated with a tensor product von Neumann algebra $M_1\bar{\otimes}M_2$ in terms of those associated with $M_i$ and usual tensor products of unbounded…

Operator Algebras · Mathematics 2024-07-09 Shinya Kato , Yoshimichi Ueda

In this paper, we study the boundedness, compactness and Schatten class membership of composition operators on the weighted $L^{p}$-space of a tree $L^{p}_{\lambda}(T)$ with $1\leq p <\infty$.

Functional Analysis · Mathematics 2023-03-21 Han Xu , Xiaoyan Zhang

The notion of decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator, in sense that a mapping is replaced by a binary relation.…

Functional Analysis · Mathematics 2024-11-26 Nikita Evseev , Alexander Menovschikov

In this paper we discuss applications of the geometric theory of composition operators on Sobolev spaces to the spectral theory of non-linear elliptic operators. The lower estimates of the first non-trivial Neumann eigenvalues of the…

Analysis of PDEs · Mathematics 2018-02-01 V. Gol'dshtein , A. Ukhlov

Continuing the study initiated in our earlier article [7], this paper aims to characterize various continuity properties of nonlinear composition operators acting on some sequence spaces, giving special attention to the space of sequences…

Functional Analysis · Mathematics 2025-05-13 Daria Bugajewska , Piotr Kasprzak

We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous functions. This class includes several classical classes of…

Dynamical Systems · Mathematics 2025-12-09 Nilson C. Bernardes , Antonio Bonilla , João V. A. Pinto

The boundedness (continuity) of composition operators from some function space to another one is significant, though there are few results about this problem. Thus, in this study, we provide necessary and sufficient conditions on the…

Functional Analysis · Mathematics 2024-09-18 Naoya Hatano , Masahiro Ikeda , Ryota Kawasumi

We study a composition operator on Lorentz spaces. In particular we provide necessary and sufficient conditions under which a measurable mapping induces a bounded composition operator.

Functional Analysis · Mathematics 2021-05-27 Nikita Evseev

In this note, we consider a class of composition operators on Lebesgue spaces with variable exponents over metric measure spaces. Taking advantage of the compatibility between the metric-measurable structure and the regularity properties of…

Functional Analysis · Mathematics 2025-02-04 Javier Henríquez-Amador , Carlos F. Álvarez

In this paper we initiate the study of composition operators on the noncommutative Hardy space $H^2_{\bf ball}$. Several classical results about composition operators (boundedness, norm estimates, spectral properties, compactness,…

Functional Analysis · Mathematics 2011-11-15 Gelu Popescu

We show that noncommutative $L_p$-spaces satisfy the axioms of the (nonunital) operator system with a dominating constant $2^{1 \over p}$. Therefore, noncommutative $L_p$-spaces can be embedded into $B(H)$ $2^{1 \over p}$-completely…

Operator Algebras · Mathematics 2009-06-28 Kyung Hoon Han

In this paper we consider composition operator generated by nonsingular measurable transformation between two different Grand Lebesgue Spaces (GLS); we investigate the boundedness, compactness and essential norm of composition operators.

Functional Analysis · Mathematics 2013-08-09 E. Ostrovsky , L. Sirota

In this paper we consider composition operators on Harmonic-Bloch type spaces and we compute the spectrum of composition operators. Also, we characterize isometric composition operators on harmonic Bloch type spaces.

Functional Analysis · Mathematics 2022-02-15 Y. Estaremi , A. Ebadian , S. Esmaeili

The aim of this paper is to give the answer to the problem of characterization of acting conditions (necessary as well as sufficient) for composition operators in some sequence spaces. We also characterize their boundedness and local…

Classical Analysis and ODEs · Mathematics 2024-07-22 Daria Bugajewska , Piotr Kasprzak

In \cite{CO-Tp-spaces}, the present authors initiated the study of composition operators on discrete analogue of generalized Hardy space $\mathbb{T}_{p}$ defined on a homogeneous rooted tree. In this article, we give equivalent conditions…

Complex Variables · Mathematics 2020-04-08 Perumal Muthukumar , Saminathan Ponnusamy
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