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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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The Structure of the Essential Spectrum and the Discrete Spectrum of the Energy Operator for Six-Electron Systems in the Hubbard Model. The Second Singlet State
We consider the energy operator of six-electron systems in the Hubbard model and study the structure of the essential spectrum and the discrete...
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On the Structure of the Spectrum and the Resolvent Set of a Toeplitz Operator in a Countably Normed Space of Smooth Functions
AbstractIn the countably normed space of smooth functions on the unit circle, we consider a Toeplitz operator with a smooth symbol. Questions...
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Spectral Characteristics of the Integral Operator of the Internal Problem of Electrodynamics for Cylindrical Spiral Structure
AbstractThe article is dedicated to the analysis of electrodynamic properties of the cylindrical spiral structure. Internal problem for the...
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On two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space
A real hypersurface M in a complex projective space inherits an almost contact metric structure from the Kählerian structure of the ambient space....
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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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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... -
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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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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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-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.... -
Towards a theory of coarse geometry of operator spaces
We introduce two notions of coarse embeddability between operator spaces: almost complete coarse embeddability of bounded subsets and...
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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... -
Spectral of the nonlinear weighted superposition operator on Fock spaces
We follow several approaches in nonlinear spectral theory and determine the various spectral forms for the nonlinear weighted superposition operator...
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Permutation orbifolds of vertex operator superalgebras and associative algebras
Let V be a vertex operator superalgebra and g = (1 2 ⋯ k ) be a k -cycle which is viewed as an automorphism of the tensor product vertex operator...
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The Faber Operator Acting on BMOA, BMO-Teichmüller Space and Chord-arc Curves
After reviewing Grunsky operator and Faber operator acting on Dirichlet space, we discuss the boundedness of Faber operator on BMOA, a new subject...
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An adaptive algorithm for Steklov eigenvalues of the Lamé operator in linear elasticity
The Steklov eigenvalues of the Lamé operator arise from the analysis of surface waves and vibration modes in a linearly elastic structure. In this...