Results 31 to 40 of about 482,910 (147)
Στόχος αυτής της διατριβής είναι να βρούμε κατάλληλες προϋποθέσεις κάτω από τις οποίες ένα πλέγμα Banach είναι ισόμορφο με τον C(K), για κάποιο συμπαγές K, ή ισόμορφο με τον L1(μ), ως προς το μέτρο μ. Στο Κεφάλαιο 1 παραθέτουμε κάποιες βασικές έννοιες και ορισμούς σχετικά με τα διανυσματικά πλέγματα.
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Renorming Dual Banach Lattices [PDF]
We show that a Banach lattice is order continuous as well as its dual if and only if it admits an equivalent Fréchet differentiable and locally uniformly convex lattice norm such that its dual norm is also locally uniformly convex.
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Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim +2 more
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Function spaces for decoupling
Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell +3 more
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Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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Lattice Ordering on Banach Spaces [PDF]
the American Mathematical Society vol. 3 (1952) pp. 821-828. 2. Nils Sjoberg, Sur les minorantes sousharmoniques d'une fonction donnee, Proceedings of the Ninth Scandanavian Mathematical Congress, Helsingfors, 1938, pp. 309-319. 3. Marcel Brelot, Minorantes sous-harmoniques, extremales et capacites, J. Math. Pures Appl. (9) vol. 24 (1945) pp. 1-32.
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Unitarily invariant valuations on convex functions
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
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Exact local distribution of the absolutely continuous spectral measure
Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
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Equilibria in reflexive Banach lattices with a continuum of agents. [PDF]
We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras ...
Monteiro, Paulo K. +2 more
core
Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
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