Results 41 to 50 of about 2,758,163 (163)
On the Nonnegative Rank of Positive Operators
ABSTRACT In this paper, we introduce the concept of a nonnegative rank of a positive operator T:X→Y$T: X\rightarrow Y$ between ordered vector spaces. In the case of nonnegative matrices, our definition agrees with the standard definition of a nonnegative rank.
Roman Drnovšek, Marko Kandić
wiley +1 more source
Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj +1 more source
A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
The purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces.
Joseph Frank Gordon
doaj +1 more source
Almost Periodicity on Isolated Time Scales and Applications
ABSTRACT In this work, we formulate a generalized definition of almost periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. We state two different definitions of almost periodicity and we show their relation.
Martin Bohner +2 more
wiley +1 more source
Accessible operators on ultraproducts of Banach spaces
We address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps.
Félix Cabello Sánchez
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The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
Isomorphic spectrum and isomorphic length of a Banach space
We prove that, given any ordinal $\delta < \omega_2$, there exists a transfinite $\delta$-sequence of separable Banach spaces $(X_\alpha)_{\alpha < \delta}$ such that $X_\alpha$ embeds isomorphically into $X_\beta$ and contains no subspace isomorphic to $
O. Fotiy, M. Ostrovskii, M. Popov
doaj +1 more source
Review on Some Sequence Spaces of p-adic Numbers [PDF]
In this paper, we make a literature review on p-adic sequences and we prove some new topological properties on the sequence spaces w(p), l∞(p) and c(p) of p-adic numbers as the set of all sequences, the set of bounded sequences and the set of convergent ...
Orhan Tuğ, Mutlay Doğan
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ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source

