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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... -
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...
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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... -
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... -
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...
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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...
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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...
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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...
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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... -
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...
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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...
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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...
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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... -
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.... -
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...
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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...