Results 11 to 20 of about 1,083,140 (374)
Resolvent Positive Operators and Positive Fractional Resolvent Families [PDF]
Journal of Function Spaces, 2021 This paper is concerned with positive α-times resolvent families on an ordered Banach space E (with normal and generating cone), where ...
Nan-Ding Li, Ru Liu, Miao Li
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Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting [PDF]
Mathematical Programming, 2018 Given the success of Douglas–Rachford splitting (DRS), it is natural to ask whether DRS can be generalized. Are there other 2 operator resolvent-splittings sharing the favorable properties of DRS? Can DRS be generalized to 3 operators? This work presents
Ernest K. Ryu
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GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Проблемы анализа, 2018 We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary ...
V. M. Bruk
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Set-valued variational inclusion problem with fuzzy mappings involving XOR-operation
AIMS Mathematics, 2021 In this paper, we introduce a set-valued variational inclusion problem with fuzzy mappings involving XOR-operation. We define a resolvent operator involving a bi-mapping and prove resolvent operator is single-valued, comparison and Lipschitz-type ...
Javid Iqbal +3 more
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Representation and stability of distributed order resolvent families
AIMS Mathematics, 2022 We consider the resolvent family of the following abstract Cauchy problem (1.1) with distributed order Caputo derivative, where A is a closed operator with dense domain and satisfies some further conditions.
Chen-Yu Li
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Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider the properties of the resolvent of a linear operator corresponding to a degenerate singular second-order differential equation with variable coefficients, considered in the Lebesgue space.
K. N. Ospanov, A. N. Yesbayev
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Consistent spectral approximation of Koopman operators using resolvent compactification [PDF]
Nonlinearity, 2023 Koopman operators and transfer operators represent dynamical systems through their induced linear action on vector spaces of observables, enabling the use of operator-theoretic techniques to analyze nonlinear dynamics in state space.
Dimitrios Giannakis, C. Valva
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Resolvents of $\mathscr{R}$-diagonal operators [PDF]
Transactions of the American Mathematical Society, 2010 Summary: We consider the resolvent \((\lambda-a)^{-1}\) of any \(\mathcal R\)-diagonal operator \(a\) in a \(\Pi_1\)-factor. Our main theorem (Theorem 1.1) gives a universal asymptotic formula for the norm of such a resolvent. En route to its proof, we calculate the \(\mathcal R\)-transform of the operator \(|\lambda-c|^2\), where \(c\) is Voiculescu's
Uffe Haagerup +2 more
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Inverses of generators of integrated fractional resolvent operator functions [PDF]
Fractional Calculus and Applied Analysis, 2018 This paper is devoted to the inverse generator problem in the setting of generators of integrated resolvent operator functions. It is shown that if the operator A is the generator of a tempered β-times integrated α-resolvent operator function ((α, β)-ROF)
Miao Li, J. Pastor, S. Piskarev
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On One Method of Studying Spectral Properties of Non-selfadjoint Operators
Abstract and Applied Analysis, 2020 In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
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