Results 41 to 50 of about 3,875,192 (205)
Acta Applicandae Mathematica, 1999 37 pages; LaTeX2e; no pictures; 27/07/99: many small ...
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The dark side of categorical Banach space theory
Extracta MathematicaeThis paper could be considered the third in the series The Hitchhiker Guide to Categorical Banach Space Theory [24, 25]. We explore (quasi) Banach space formulations and applications for advanced categorical topics, such as relative homology (with ...
Jesús Castillo
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.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
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Generators of maximal left ideals in Banach algebras [PDF]
, 2012 In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
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Separability of Topological Groups: A Survey with Open Problems
Axioms, 2018 Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Operations in Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.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
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Rocky Mountain Journal of Mathematics, 2001 A subspace \(Y\) of a Banach space \(X\) is called to be an ideal in \(X\), if there is a norm one projection \(P :X^*\to X^*\) with \(Y^\perp=\text{ker }P\). By a result of \textit{Å. Lima} [Isr. Math. 84, No. 3, 451-475 (1993; Zbl 0814.46016)], this is equivalent of saying \(Y^{\perp\perp}\) is the range of a norm one projection in \(X^{**}\). In the
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A ninny, an idiot and an economic theorist
Economica, EarlyView.Abstract Anton Chekhov's story ‘The ninny’ meets the question: ‘What is the meaning of economic theory?’
Ariel Rubinstein
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