Results 71 to 80 of about 3,875,192 (205)
Let \(X\) be a separable Banach space and let \((U_n)\) be a sequence of linear operators \(U_n: X\to X\). \((U_n)\) factors uniformly \(\ell^{m_n}_p\)'s with respect to \(\lambda\), if there exists a sequence of positive integers \((m_n)\) and sequences of linear operators \((T_n)\), \((S_n)\), with \(T_n:X\to\ell^{m_n}_p\), \(S_n:\ell^{m_n}_p\to X ...
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A Study of Birkhoff Orthogonal Sets in Smooth Banach Spaces
Referring to the definition of orthogonal set in inner product space,the concept of Birkhoff orthogonal set is introduced in finite-dimensional real Banach spaces,and the problem of whether there exists a Birkhoff orthogonal set whose number of ...
WANG Xiaomei, JI Donghai
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Some extremal properties of section spaces of Banach bundles and their duals
When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X,E) of continuous E-valued functions on X. What happens if the Banach spaces in which the functions on X take their
D. A. Robbins
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The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces
The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad +2 more
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ABSTRACT Low water activity ingredients, including dried fruits, vegetables, herbs, and spices, are widely used in ready‐to‐eat (RTE) and non‐RTE foods. Although low water activity limits microbial growth, bacterial pathogens can survive for extended periods in these products.
Heidy M. W. den Besten +7 more
wiley +1 more source
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
Pruitt’s Estimates in Banach Space [PDF]
Pruitt's estimates on the expectation and the distribution of the time taken by a random walk to exit a ball of radius r are extended to the infinite dimensional setting. It is shown that they separate into two pairs of estimates depending on whether the space is type 2 or cotype 2.
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In this study, we introduce three new notions which may occur for some Banach spaces. We call these new properties AAI1, AAI2 and AAI3 where AAI stands for “alternative asymptotically isometric”.
Shilpa Das, Veysel Nezir, Aysun Güven
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Nonwandering operators in Banach space
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them.
Lixin Tian +3 more
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On the chain of commuting operators on Banach spaces
Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
wiley +1 more source

