Results 71 to 80 of about 4,637,247 (289)
On Sharp Triangle Inequalities in Banach Spaces II
Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.
Kichi-Suke Saito, Ken-Ichi Mitani
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Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough.
Yarema A. Prykarpatskyy+3 more
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Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
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Homomorphisms on Banach spaces [PDF]
If & ^ 1 for each v, then by reasoning analogous to that of the preceding example, it may be shown, for any set (a), that there is no point p such that t p implies that log St(a, £) is concave. Hence Theorem 4 applies to all such functions log St(a, £).
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Distributed Leader‐Following Formation of Discrete‐Time Multi‐Agent LPV Systems
ABSTRACT This paper addresses the leader‐following formation consensus problem for multi‐agent systems (MASs) with agents represented by discrete‐time linear parameter‐varying (LPV) models. The scenario where each agent can be modeled with distinct time‐varying scheduling parameters is investigated with respect to compensation signals.
Paulo S. P. Pessim+4 more
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Type and cotype of some Banach spaces
Type and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. Applications of the results yield that under certain assumptions Clarkson's inequalities hold in these spaces.
Mieczyslaw Mastylo
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On M-spaces and Banach spaces [PDF]
We define in this paper the concept of C-space, related with M-spaces and Banach spaces. We obtain various properties on these spaces and propose some open problems.
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Monitoring panels of sparse functional data
Panels of random functions are common in applications of functional data analysis. They often occur when sequences of functions are observed at a number of different locations. We propose a methodology to monitor for structural breaks in such panels and to identify the changing components with statistical certainty.
Tim Kutta+2 more
wiley +1 more source
The author considers nest algebras of operators on Banach spaces and asks how much of the known results about Hilbert space case carry over to Banach space case. If the Banach space is sufficiently looking like a Hilbert space, then some of them carry over: Theorem 1. If \(\mathcal N\) is a regular nest in a reflexive Banach space, then the radical of \
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Adaptive Estimation for Weakly Dependent Functional Times Series
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro+2 more
wiley +1 more source