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A Continuity Result for the Adjusted Normal Cone Operator
The concept of adjusted sublevel set for a quasiconvex function was introduced by Aussel and Hadjisavvas who proved the local existence of a...
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Normal and Compact Solvability of the Exterior Derivation Operator in Orlicz Spaces
We study the normal and compact solvability of the operator of exterior derivation in Orlicz spaces of differential forms on compact Riemannian...
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Convergence of the Method of Regularization for Finding Normal Quasisolutions in Problems with Free Phase and a Completely Continuous Operator
We consider the problems of correct finding of normal quasisolutions of operator equations whose operator is a superposition of linear and nonlinear...
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Counterexamples in Operator Theory
This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded...
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Differentiation Operator in the Beurling Space of Ultradifferentiable Functions of Normal Type on an Interval
AbstractIn this paper we study closed subspaces of ultradifferentiable functions which are invariant under the differentiation operator. We propose a...
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Characterization of B-Fredholm Quotient Operator with Application to Strict Quasi-normal Contractions
In this paper, we give a characterization of a B-Fredholm quotient of two bounded linear operators A and M satisfying certain conditions on a Hilbert...
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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....
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Generalized numerical radius of a bounded linear operator
In this paper, we considered the generalized numerical radius of a bounded linear operator defined from a Hilbert space H into itself and derived...
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Operator-Norm Approximation Theory à la Chernoff
This chapter is devoted to development of operator-norm approximations of the product formulæ for non-self-adjoint semigroups. To this aim we use...
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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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Operator Theory
This section provides a very brief and quick review of the basics of Hilbert space theory and functional analysis that are needed for this text. We...
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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...
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Generalized Inversion of the Operator Matrices (Generalization of the Frobenius Theorem)
We propose methods for the construction of the operator matrices generalized inverse to (2 × 2) operator matrices in Banach spaces. We obtain the...
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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...