A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces [PDF]
Mathematics, 2021 This paper aims to study fuzzy order bounded linear operators between two fuzzy Riesz spaces. Two lattice operations are defined to make the set of all bounded linear operators as a fuzzy Riesz space when the codomain is fuzzy Dedekind complete. As a special case, separation property in fuzzy order dual is studied.
Juan L. G. Guirao +3 more
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Representations of $*$-semigroups associated to invariant kernels with values adjointable operators. I [PDF]
, 2015 We consider positive semidefinite kernels valued in the $*$-algebra of adjointable operators on a VE-space (Vector Euclidean space) and that are invariant under actions of $*$-semigroups.
Ay, Serdar, Gheondea, Aurelian
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On linear operators on ordered banach spaces [PDF]
Bulletin of the Australian Mathematical Society, 1983 The order structure of the space of all continuous linear operators on an ordered Banach space is studied. The main topic is the Robinson property, that is, the norm of a positive linear operator is attained on the positive unit cone.
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Optimal recovery of integral operators and its applications [PDF]
, 2015 In this paper we present the solution to the problem of recovering rather arbitrary integral operator based on incomplete information with error. We apply the main result to obtain optimal methods of recovery and compute the optimal error for the ...
Babenko, Vladyslav +3 more
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Stabilizing Solution for a Discrete-Time Modified Algebraic Riccati Equation in Infinite Dimensions
Discrete Dynamics in Nature and Society, 2015 We provide necessary and sufficient conditions for the existence of stabilizing solutions for a class of modified algebraic discrete-time Riccati equations (MAREs) defined on ordered Banach spaces of sequences of linear and bounded operators. These MAREs
Viorica Mariela Ungureanu
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Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
Physical Review X, 2018 Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (“spin chains”), quantum field theory, and holography.
C. W. von Keyserlingk +3 more
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The Energy Operator for a Model with a Multiparametric Infinite Statistics [PDF]
, 2003 In this paper we consider energy operator (a free Hamiltonian), in the second-quantized approach, for the multiparameter quon algebras: $a_{i}a_{j}^{\dagger}-q_{ij}a_{j}^{\dagger}a_{i} = \delta_{ij}, i,j\in I$ with $(q_{ij})_{i,j\in I}$ any hermitian ...
Ante Perica +13 more
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The order of neutrality for linear operators on inner product spaces
Linear Algebra and its Applications, 1997 On a complex vector space \({\mathcal H}\) an inner product \([\cdot,\cdot]\) and a symmetric linear operator \(A\) are defined in a usual way. A subspace \({\mathcal S}\subseteq{\mathcal H}\) is said to be neutral if \([x,y]= 0\) for all \(x,y\in{\mathcal S}\). Earlier, Lancaster et al.
Lancaster, P., Markus, A.S., Zizler, P.
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A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces [PDF]
Mathematics of Computation, 1973 This paper presents simple proofs of the principal results of the Perron-Frobenius theory for linear mappings on finite-dimensional spaces which are nonnegative relative to a general partial ordering on the space. The principal tool for these proofs is an application of the theory of norms in finite dimensions to the study of order inequalities of the ...
Rheinboldt, Werner C. +1 more
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Remarks on Duality in Graph Spaces of First‐Order Linear Operators [PDF]
PAMM, 2006 AbstractGraph spaces provide a setting alternative to Sobolev spaces and BV spaces, which is suitable for the analysis of first‐order linear boundary value problems such as Friedrichs systems. Besides investigations of the well‐posedness of the continuous problem there is also an increasing interest in the error analysis of finite element methods ...
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