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On Calculation of the Norm of a Monotone Operator in Ideal Spaces
This paper contains the proof of general results on the calculation of the norms of monotone operators acting from one ideal space to another under...
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There is no largest proper operator ideal
An operator ideal is proper if the only invertible operators it contains have finite rank. We answer a problem posed by Pietsch (Operator ideals,...
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Operator Approach to the Problem on Small Motions of an Ideal Relaxing Fluid
In this paper, we study the problem on small motions of the ideal relaxing fluid that fills a uniformly rotating or fixed container. We prove a...
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The ideal of operators factored through a Banach space with a basis
Let E be a Banach space with a Schauder basis. We investigate E -factorable operators and their operator ideals. Some characterizations of E -factorable...
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The global existence of strong solutions for a non-isothermal ideal gas system
We investigate the global existence of strong solutions to a non-isothermal ideal gas model derived from an energy variational approach. We first...
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Incompressible limit of ideal magnetohydrodynamics in a domain with boundaries
We study the incompressible limit of classical solutions to compressible ideal magneto-hydrodynamics in a domain with a flat boundary. The boundary...
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Ideal Turbulence as a Kind of Disturbed Chaos: Brief Essay
We outline key points of the concept of ideal turbulence offering novel scenarios for distributed chaos based not on the geometric-dynamical...
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Characterizations of Ordered Self-adjoint Operator Spaces
We describe how self-adjoint ordered operator spaces, also called non-unital operator systems in the literature, can be understood as
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On Extreme Points of Sets in Operator Spaces and State Spaces
AbstractWe obtain a representation of the set of quantum states in terms of barycenters of nonnegative normalized finitely additive measures on the...
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Coarse-grid operator optimization in multigrid reduction in time for time-dependent Stokes and Oseen problems
Multigrid reduction in time (MGRIT), one of the most popular parallel-in-time approaches, extracts temporal parallelism by constructing coarse grids...
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An Unconventional Divergence Preserving Finite-Volume Discretization of Lagrangian Ideal MHD
We construct an unconventional divergence preserving discretization of updated Lagrangian ideal magnetohydrodynamics (MHD) over simplicial grids. The...
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On the Group Classification of Ideal Gas-Dynamic Relaxing Media
The group analysis of differential equations of ideal gas dynamics is most developed. Earlier, the state equations for thermodynamic parameters were...
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Stability of Multiplier Ideal Sheaves
In the present article, the authors find and establish stability of multiplier ideal sheaves, which is more general than strong openness.
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New G-Closed Sets with Related to an Ideal
Ideal is a family which has two properties as known heredity and finite additive. Besides it is a partially ordered collection of sets. This using...
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Approximation of Operator Semigroups Using Linear-Fractional Operator Functions and Weighted Averages
AbstractAn analytic semigroup of operators on a Banach space is approximated by a sequence of positive integer powers of a linear-fractional...
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The Lipschitz bounded approximation property for operator ideals
In this article, we introduce the Lipschitz bounded approximation property for operator ideals. With this notion, we extend the original work of...
