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On the Isometry Group of Immortal Homogeneous Ricci Flows
We establish a structure result for the isometry group of non-compact, homogeneous manifolds admitting an immortal homogeneous Ricci flow solution.
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Partial isometries and generalized inverses of linear relations
For a closed linear relation everywhere defined on a Hilbert space the concepts of isometry, co-isometry, partial isometry, and generalized inverse...
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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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Powers and roots of partial isometric covariant representations
Isometric covariant representations play an important role in the study of Cuntz–Pimsner algebras. In this article, we study partial isometric...
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Partial Integral Operators on Banach–Kantorovich Spaces
AbstractIn this paper, we study partial integral operators on Banach–Kantorovich spaces over a ring of measurable functions. We obtain a...
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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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Real Structure in Operator Spaces, Injective Envelopes and G-spaces
We present some more foundations for a theory of real structure in operator spaces and algebras, in particular concerning the real case of the theory...
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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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Asymptotic Analysis of Operator Families and Applications to Resonant Media
We give an overview of operator-theoretic tools that have recently proved useful in the analysis of boundary-value and transmission problems for...
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Evolution Equations with Sectorial Operator on Fractional Power Scales
Originating with the famous monograph by Dan Henry, the semigroup approach to evolution problems having a positive sectorial operator in the main...
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On Inverse Problems for a Strongly Damped Wave Equation on Compact Manifolds
We consider a strongly damped wave equation on compact manifolds, both with and without boundaries, and formulate the corresponding inverse problems....
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Quasi-Multipliers and Algebrizations of an Operator Space. III
The main part of this article serves as a corrigendum to the author’s paper “Quasi-multipliers and algebrizations of an operator space. J. Funct....
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A glimpse of a generalized Hessian operator
On a (pseudo-)Riemannian manifold, we consider an operator associated to a vector field and to an affine connection, which extends, in a certain way,...
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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...