On Some New Inequalities For Continuous Fusion Frames in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1219-4
Abstract: Continuous frames and fusion frames were considered recently as generalizations of frames in Hilbert spaces. In this paper, for any continuous fusion frame, we obtain a new family of inequalities which are parametrized by a… read more here.
Keywords: fusion frames; hilbert spaces; new inequalities; continuous fusion ... See more keywords
Commutant Lifting and Nevanlinna–Pick Interpolation in Several Variables
Sign Up to like & getrecommendations! Published in 2019 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-020-02582-9
Abstract: This paper concerns a commutant lifting theorem and a Nevanlinna–Pick type interpolation result in the setting of multipliers from vector-valued Drury–Arveson space to a large class of vector-valued reproducing kernel Hilbert spaces over the unit… read more here.
Keywords: nevanlinna pick; hilbert spaces; pick interpolation; commutant lifting ... See more keywords
Exact K-g-Frames in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-017-0657-9
Abstract: In this paper we mainly discuss the exact K-g-frames in the Hilbert spaces. We use the induced sequence $$\{u_{jk}\}$${ujk} of a g-Bessel sequence $$\{\Lambda _j\}_{j\in J}$${Λj}j∈J and an invertible operator to characterize whether $$\{\Lambda _j\}_{j\in… read more here.
Keywords: exact frames; sequence; frames hilbert; hilbert spaces ... See more keywords
Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-019-09574-z
Abstract: Transfer operators such as the Perron–Frobenius or Koopman operator play an important role in the global analysis of complex dynamical systems. The eigenfunctions of these operators can be used to detect metastable sets, to project… read more here.
Keywords: eigendecompositions transfer; reproducing kernel; hilbert spaces; transfer operators ... See more keywords
Iterative method with inertial for variational inequalities in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2018 at "Calcolo"
DOI: 10.1007/s10092-018-0300-5
Abstract: Strong convergence property for Halpern-type iterative method with inertial terms for solving variational inequalities in real Hilbert spaces is investigated under mild assumptions in this paper. Our proposed method requires only one projection onto the… read more here.
Keywords: inertial variational; iterative method; hilbert spaces; method ... See more keywords
Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00242-8
Abstract: In order to solve global minimization problems involving best proximity points, we introduce general Mann algorithm for nonself nonexpansive mappings and then prove weak and strong convergence of the proposed algorithm under some suitable conditions… read more here.
Keywords: proximity points; convergence; hilbert spaces; global minimization ... See more keywords
Iterative methods for a class of variational inequalities in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0442-0
Abstract: In this paper, we introduce implicit and explicit iterative methods for solving a variational inequality problem over the set of zeros for a maximal monotone mapping in Hilbert spaces. As consequence, new modifications of the… read more here.
Keywords: iterative methods; methods class; hilbert spaces; variational inequalities ... See more keywords
Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0531-8
Abstract: We introduce a projection-type algorithm for solving monotone variational inequality problems in real Hilbert spaces without assuming Lipschitz continuity of the corresponding operator. We prove that the whole sequence of iterates converges strongly to a… read more here.
Keywords: monotone variational; projection type; method; hilbert spaces ... See more keywords
Applications of Completions of Operator Matrices to Some Properties of Operator Products on Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-016-0600-1
Abstract: In this paper, we will investigate certain properties of some operator products on Hilbert spaces, by applications of completions of operator matrices. It is shown that, quite surprisingly, the invariance properties of the operator product… read more here.
Keywords: products hilbert; hilbert spaces; properties operator; operator products ... See more keywords
Revitalising Pedrick’s Approach to Reproducing Kernel Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-021-01091-w
Abstract: This short note has to make alive the overlooked work of Pedrick. It is rather a tour guide than exhausted examination of the content and intends to serve potential explorers of diverse kinds of reproducing… read more here.
Keywords: approach reproducing; reproducing kernel; hilbert spaces; revitalising pedrick ... See more keywords
Some Stability Properties of Parametric Quadratically Constrained Nonconvex Quadratic Programs in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-017-0221-4
Abstract: Stability of nonconvex quadratic programming problems under finitely many convex quadratic constraints in Hilbert spaces is investigated. We present several stability properties of the global solution map, and the continuity of the optimal value function,… read more here.
Keywords: hilbert spaces; stability properties; parametric quadratically; stability ... See more keywords