Results 1 to 10 of about 1,313,453 (353)
(F, G, C)-Resolvent Operator Families and Applications
Mathematics, 2023 In this paper, we introduce and investigate several new classes of (F,G,C)-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces.
Vladimir E. Fedorov, Marko Kostić
doaj +2 more sources
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
doaj +2 more sources
Fractal and Fractional, 2022 This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Velusamy Vijayakumar +6 more
doaj +2 more sources
A formula for the resolvent of a Reynolds operator [PDF]
Journal of the Australian Mathematical Society, 1968 Let be a complex Banach algebra, possibly non-commutative, with identity e. By a Reynolds operator we mean here a bounded linear operator T: → satisfying the Reynolds identity for all x, y ∈ . We prove that under certain conditions the resolvent of T, R(p, T) = (pI−T)−1, has the form where s = −log(e−Te) and exp y = e+y+y2/2!+….
John Boris Miller
openalex +3 more sources
The norm of the resolvent of the Volterra operator [PDF]
arXiv, 2022 In this expository note, we compute the exact value of the norm of the resolvent of the Volterra operator.
arxiv +3 more sources
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
semanticscholar +4 more sources
General Resolvents for Monotone Operators: Characterization and Extension [PDF]
arXiv, 2008 Monotone operators, especially in the form of subdifferential operators, are of basic importance in optimization. It is well known since Minty, Rockafellar, and Bertsekas-Eckstein that in Hilbert space, monotone operators can be understood and analyzed from the alternative viewpoint of firmly nonexpansive mappings, which were found to be precisely the ...
Heinz H. Bauschke +2 more
arxiv +3 more sources
On the convergence of resolvents of operators [PDF]
Pacific Journal of Mathematics, 1967 Minoru Hasegawa
openalex +4 more sources
Resolvent estimates for the magnetic Schrödinger operator [PDF]
Analysis & PDE, 2014 We prove optimal high-frequency resolvent estimates for perturbations by large magnetic and electric ...
Georgi Vodev
openalex +6 more sources
Resolvent Operator Transformations and Bound-State Solutions for Confluent Natanzon Potentials [PDF]
arXiv, 2009 An algebraic method of constructing the confluent Natanzon potentials endowed with position-dependent mass is presented. This is possible by identifying the scaling resolvent operator (Green's function) to nonrelativistic position-dependent mass Schrodinger equation.
Sid-Ahmed Yahiaoui, M. Bentaïba
arxiv +3 more sources