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  1. Characterizations of Composition Operators on Bloch and Hardy Type Spaces

    The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general...

    Shaolin Chen, Hidetaka Hamada in Results in Mathematics
    Article 14 February 2024
  2. On Berezin type operators and Toeplitz operators on Bergman spaces

    We introduce a class of integral operators called Berezin type operators. It is a generalization of the Berezin transform, and has a close relation...

    Gabriel T. Prǎjiturǎ, Ruhan Zhao, Lifang Zhou in Banach Journal of Mathematical Analysis
    Article 07 July 2023
  3. Canonical integral operators on the Fock space

    **ngtang Dong, Kehe Zhu in Mathematische Zeitschrift
    Article 12 March 2024
  4. Weak and almost Grothendieck operators in Banach lattices

    In this paper, we introduce and study a weak version of Grothendieck operators that we will call weak Grothendieck operators, these are operators...

    Fatima Zahra Oughajji, Ilham Essadki, ... Bouazza El Wahbi in Rendiconti del Circolo Matematico di Palermo Series 2
    Article 13 May 2024
  5. \(C^*\) -Algebras and Completely Positive Maps

    In the first two sections of this chapter, we briefly describe some basics of the Banach and the...
    B. V. Rajarama Bhat, Tirthankar Bhattacharyya in Dilations, Completely Positive Maps and Geometry
    Chapter 2023
  6. Invariant measures from locally bounded orbits

    Motivated by recent investigations of Sophie Grivaux and Étienne Matheron on the existence of invariant measures in Linear Dynamics, we introduce the...

    Antoni López-Martínez in Results in Mathematics
    Article Open access 15 June 2024
  7. Generalized Forelli-Rudin type operators between several function spaces on the unit ball of ℂn

    In this paper, we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T λ,τ,k , S λ,τ,k , Q λ,τ,k and R λ,τ,k ...

    Xuejun Zhang, Yuting Guo, ... Pengcheng Tang in Acta Mathematica Scientia
    Article 21 March 2024
  8. On the Structure of Conditionally Positive Definite Algebraic Operators

    Recently, the authors have introduced and intensively studied a class of bounded Hilbert space operators called conditionally positive definite. Its...
    Zenon Jan Jabłonsk, Bong Jung, Jan Stochel in Multivariable Operator Theory
    Chapter 2023
  9. Unbounded Local Completely Contractive Maps

    We prove a local convex version of Arveson’s extension theorem and of Wittstock’s extension theorem. Also, we prove a Stinespring type theorem for...

    Article 05 December 2022
  10. Big Hankel operators on Hardy spaces of strongly pseudoconvex domains

    In this article, we investigate the (big) Hankel operator H f on the Hardy spaces of bounded strongly pseudoconvex domains Ω in ℂ n . We observe that H f ...

    Boyong Chen, Liangying Jiang in Acta Mathematica Scientia
    Article 14 February 2024
  11. Truncated Toeplitz Operators

    Truncated Toeplitz operators are compressions of Toeplitz operators on model spaces; they have received much attention in the last years. This survey...
    Chapter 2023
  12. Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces

    In this paper, we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock...

    Jian **ang Dong, Chun Xu Xu, Yu Feng Lu in Acta Mathematica Sinica, English Series
    Article 20 May 2024
  13. A primer on eigenvalue problems of non-self-adjoint operators

    Non-self adjoint operators describe problems in science and engineering that lack symmetry and unitarity. They have applications in...

    Rakesh Kumar, Kirankumar R. Hiremath, Sergio Manzetti in Analysis and Mathematical Physics
    Article 04 March 2024
  14. Multipliers and equivalence of functions, spaces, and operators

    By interpreting the well-known Brown–Halmos theorem for Toeplitz operators in terms of multipliers, we formulate a Brown–Halmos analogue for the...

    M. C. Câmara, C. Carteiro, W. T. Ross in Banach Journal of Mathematical Analysis
    Article Open access 05 May 2024
  15. Observations on some classes of operators on C(K,X)

    I. Ghenciu, R. Popescu in Analysis Mathematica
    Article 01 March 2024
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