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Banach spaces and operators
In this first chapter, we shall recall some notation and preliminary results within the functional analysis and related subjects that we shall use.
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The Subspace of Almost Convergent Sequences
A bounded sequence of reals is called almost convergent if all Banach limits take the same value at it. We study the space of almost convergent...
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Generalized Levi Currents and Singular Loci for Families of Plurisubharmonic Functions
We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular...
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A Note on the Jacobian Problem of Coifman, Lions, Meyer and Semmes
Coifman, Lions, Meyer and Semmes asked in 1993 whether the Jacobian operator and other compensated compactness quantities map their natural domain of...
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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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Properties of the Set of Admissible “State Control” Pair for a Class of Fractional Semilinear Evolution Control Systems
In this paper, we discuss a class of Caputo fractional evolution equations on Banach space with feedback control constraint whose value is non-convex...
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Introduction
Quantum groups disclosed themselves to us as holders of R-matrices via quantum inverse scattering methods.
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Elementare Theorie mehrerer komplexer Variablen
In diesem Kapitel untersuchen wir den n-dimensionalen komplexen Vektorraum \(\mathbb {C}^{n}\)...
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Self-Affine Tiling of Polyhedra
AbstractWe obtain a complete classification of polyhedral sets (unions of finitely many convex polyhedra) that admit self-affine tilings, i.e.,...
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Thermodynamic Game and the Kac Limit in Quantum Lattices
A mathematically rigorous computation of the pressure and equilibrium states of important short-range quantum models on lattices (like the Hubbard...
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Main Notation, Definitions, Auxiliary Results, and Examples
An existence set is always closed and nonempty. Indeed, if a cluster point of an existence set M were not contained in M, then this point would...
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Characterization of TU games with stable cores by nested balancedness
A balanced transferable utility game ( N , v ) has a stable core if its core is externally stable, that is, if each imputation that is not in the core...
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The Extremal Structure of Convex Sets of Multilinear Operators
In an article published forty years ago, Kutateladze proposed a machinery for studying the extremal structure of convex sets of linear operators...