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  1. Operator Norm Attainment

    Linear operators lie at the very heart of functional analysis and operator theory. As mentioned in the Preface, this monograph aims at exploring the...
    Arpita Mal, Kallol Paul, Debmalya Sain in Birkhoff–James Orthogonality and Geometry of Operator Spaces
    Chapter 2024
  2. Lipschitz geometry of operator spaces and Lipschitz-free operator spaces

    We show that there is an operator space notion of Lipschitz embeddability between operator spaces which is strictly weaker than its linear...

    Bruno M. Braga, Javier Alejandro Chávez-Domínguez, Thomas Sinclair in Mathematische Annalen
    Article 22 December 2022
  3. Operator Splitting

    In mathematics, a common approach to solving a new problem is to break down the problem into sub-problems that you know how to solve and then try to...
    Chapter Open access 2023
  4. Operator Norms

    The above inequality is a crucial property shared by the induced uniform norm of bounded linear transformations, referred to as the operator norm...
    Chapter 2023
  5. Weighted numerical radius inequalities for operator and operator matrices

    The concept of weighted numerical radius has been defined recently. In this article, we obtain several upper bounds for the weighted numerical radius...

    Raj Kumar Nayak in Acta Scientiarum Mathematicarum
    Article 21 December 2023
  6. Operator mean inequalities and Kwong functions

    In this paper, we study operator mean inequalities for the weighted arithmetic, geometric, and harmonic means. We give a slight modification of...

    Nahid Gharakhanlu, Mohammad Sal Moslehian, Hamed Najafi in Archiv der Mathematik
    Article 12 April 2024
  7. Operator Hypergeometric Functions

    We consider operator hypergeometric functions 1 F 2 (∙) and 2 F 3 (∙) constructed by an unbounded operator. Using these functions, we solve Cauchy problems...

    Article 19 May 2023
  8. Multivariable Operator Theory The Jörg Eschmeier Memorial Volume

    Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and...

    Ernst Albrecht, Raúl Curto, ... Mihai Putinar
    Book 2023
  9. q–differ-integral operator on p–valent functions associated with operator on Hilbert space

    Making use of multivalent functions with negative coefficients of the type f ( z ) = z p − ∑ k = p +1 a k z k , which are analytic in the open unit disk and...

    Article 12 September 2023
  10. Operator shifting for noisy elliptic systems

    In the computational sciences, one must often estimate model parameters from data subject to noise and uncertainty, leading to inaccurate results. In...

    Philip A. Etter, Lexing Ying in Research in the Mathematical Sciences
    Article 12 November 2023
  11. The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces

    We study the boundedness and compactness of the generalized Volterra integral operator on weighted Bergman spaces with doubling weights on the unit...

    Juntao Du, Songxiao Li, Dan Qu in Mediterranean Journal of Mathematics
    Article 22 October 2022
  12. Magnetic Schrödinger operator on the flat Möbius strip

    The spectral problem for the Schrödinger operator with a magnetic field (the Landau operator) on the flat Möbius strip is considered. The model of...

    Article 11 June 2024
  13. Stokes Problem and Stokes Operator

    Chapter Stokes Problem and Stokes Operator is devoted to the mathematical problems related to the stationary and non-stationary Stokes problems in...
    Grigory Panasenko, Konstantin Pileckas in Multiscale Analysis of Viscous Flows in Thin Tube Structures
    Chapter 2024
  14. Operator-Adapted Spaces

    Operator-adapted Hardy–Sobolev spaces are our main tool in this monograph and will be essential for understanding most of the following chapters....
    Chapter 2023
  15. Variable Herz–Morrey estimates for rough fractional Hausdorff operator

    As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in...

    Amjad Hussain, Ilyas Khan, Abdullah Mohamed in Journal of Inequalities and Applications
    Article Open access 12 March 2024
  16. The Stokes Dirichlet-to-Neumann operator

    C. Denis, A. F. M. ter Elst in Journal of Evolution Equations
    Article 15 March 2024
  17. Refined operator inequalities for relative operator entropies

    We investigate the relative operator entropies in the more general settings of C *-algebras, real C *-algebras and JC-algebras. We show that all the...

    S.-Z. Wang, Z.-H. Wang in Analysis Mathematica
    Article 03 March 2022
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