Results 91 to 100 of about 4,018,978 (218)
Miskolc Mathematical NotesIn 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
International Journal of Mathematics and Mathematical Sciences, 2005 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 quasihyperbolic geodesics in Banach spaces
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Rasila Antti +2 more
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Gradient Systems and Scale‐Aware Heat Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The extreme miniaturization of modern microelectronic architectures exposes the limitations of classical continuum mechanics, as Fourier's law breaks down at sub‐micron scales (100–0.1 μm$\umu{\rm m}$). While molecular models can accurately capture these thermal flow regimes, they remain computationally expensive.
Grigor Nika
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Complemented subspaces of p-adic second dual Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1995 Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
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Gradient Flows on Sparse Representations for PDE‐Regularized Inverse Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this short paper, we summarize the theory of Atomic Gradient Flows (AGF) introduced in (Amend, Carioni and Zemas, arxiv:2603.25675, 2026), which provides a framework to construct gradient flows on sparse representations for convex regularized optimization problems.
Christian Amend, Marcello Carioni
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Sectional representation of Banach modules and their multipliers
International Journal of Mathematics and Mathematical Sciences, 2003 Let X be a Banach module over the commutative Banach algebra A with maximal ideal space Δ. We show that there is a norm-decreasing representation of X as a space of bounded sections in a Banach bundle π:ℰ→Δ, whose fibers are quotient modules of X.
Terje Hõim, D. A. Robbins
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The Weak Topologies of Banach Spaces [PDF]
Proceedings of the National Academy of Sciences, 1939 Not ...
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
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Demonstratio Mathematica, 1997 Let \(X\) be an infinite-dimensional complex Banach space, and let \(T\) be a bounded linear operator defined on \(X\) satisfying \(\dim T^{- 1}(0)= 0\), \(\dim X/T(X)= 1\) and \(\bigcap^\infty_{n= 1}T^n(X)= \{0\}\). Such an operator is known as a shift [\textit{R. M. Crownover}, Mich. Math. J. 19, 233-247 (1972; Zbl 0228.47016)]. If \(x_0\) is a fixed
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