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The Strong Convergence of Schrodinger Propagators [PDF]
Transactions of the American Mathematical Society, 1981 Time dependent versions of the Trotter-Kato theorem are discussed using nonstandard analysis. Both standard and nonstandard results are obtained. In particular, it is shown that if a sequence of generators converges in the strong resolvent topology at each time to a limiting generator and if the sequence of generators and limiting generator uniformly ...
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On strong forms of weak convergence
Stochastic Processes and their Applications, 1997 The authors discuss several convergences of probability measures stronger than the strong convergence. They present equivalent descriptions of these convergences emulating the Skorokhod representation and the definition of the weak convergence. The paper contains applications to sufficient statistics and to Markov processes.
Saul D. Jacka, Gareth O. Roberts
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Infinite matrices and absolute almost convergence
International Journal of Mathematics and Mathematical Sciences, 1983 In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
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Strong Convergence in a Product Space [PDF]
Proceedings of the American Mathematical Society, 1962 The purpose of this note is to present a certain necessary and sufficient condition for strong convergence in Lp over a product space. This result is formulated as Theorem 1 below. Theorem 1 includes as a special case a well-known compactness condition of M. Riesz, which we state in slightly different form as Theorem 2.
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Strong Convergence of a Projected Gradient Method
Journal of Applied Mathematics, 2012 The projected-gradient method is a powerful tool for solving constrained convex optimization problems and has extensively been studied. In the present paper, a projected-gradient method is presented for solving the minimization problem, and the strong ...
Shunhou Fan, Yonghong Yao
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Strong Convergence of Mann’s Iteration Process in Banach Spaces
Mathematics, 2020 Mann’s iteration process for finding a fixed point of a nonexpansive mapping in a Banach space is considered. This process is known to converge weakly in some class of infinite-dimensional Banach spaces (e.g., uniformly convex Banach spaces with a ...
Hong-Kun Xu +2 more
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A strong convergence to the Rosenblatt process
Journal of Mathematical Analysis and Applications, 2012 We give a strong approximation of Rosenblatt process via transport processes and we give the rate of convergence.
Soledad Torres +2 more
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Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals
Fixed Point Theory and Applications, 2008 We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by
Satit Saejung
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On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Abstract and Applied Analysis, 2014 Let an,n≥1 be a sequence of positive constants with an/n↑ and let X,Xn,n≥1 be a sequence of pairwise negatively quadrant dependent random variables. The complete convergence for pairwise negatively quadrant dependent random variables is studied under ...
Aiting Shen, Ying Zhang, Andrei Volodin
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Axioms, 2022 It is well-known in the literature that many analytical techniques are introduced in order to find a solution for problems such as functional, differential, and integral equations.
Kifayat Ullah +4 more
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