Results 81 to 90 of about 6,188,577 (200)

When weak convergence in von Neumann algebras implies almost uniform convergence?

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We show that weak sequential convergence in a semifinite von Neumann algebra M$\mathcal {M}$ equipped with a faithful normal semifinite trace τ$\tau$ implies almost uniform convergence if and only if M$\mathcal {M}$ is of type Ifin$\mathrm{I}_{\rm fin}$ with τ(1)<∞;$\tau (\mathbf {1})<\infty;$ and that weak sequential convergence in a finite ...
Yerlan Nessipbayev, Fedor Sukochev, Dmitriy Zanin   +2 more
wiley   +1 more source

Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
Homogeneous closed PDO are constructed which are analogous to the powers of (absolute value of ) infinite dimensional Laplacian and acting in Banach spaces of complexvalued functions defined on function spaces over a field of p-adic numbers. For elements of
Nikolaj N Shamarov
doaj   +3 more sources

p-representable operators in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1986
Let E and F be Banach spaces. An operator T∈L(E,F) is called p-representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g∈Lq(μ,F), 1p+1q=1, such thatTx=∫B(E*)〈x,x*〉g(x*)dμ(x*)for all x∈E.
Roshdi Khalil
doaj   +1 more source

A proof of Esterle's conjecture on negative powers of Hilbert‐space contractions

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We establish the following result, confirming a conjecture of Jean Esterle. For each closed subset E$E$ of the unit circle of Lebesgue measure zero, there exists a positive sequence un→∞$u_n\rightarrow \infty$ with the following property: If T$T$ is a contraction on a Hilbert space such that σ(T)⊂E$\sigma (T)\subset E$ and ∥T−n∥=O(un)$\Vert T^{
Thomas Ransford
wiley   +1 more source

Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena, Jeremy T. Tyson   +1 more
wiley   +1 more source

Banach Spaces and Algebras of Continuous Functions [PDF]

Proceedings of the American Mathematical Society, 1955
this space becomes a real Banach space. Finally, provided with the usual multiplication of functions, this space becomes a real Banach algebra. The function which is identically one on X is the multiplicative identity, and we denote it by e. According to the Banach-Stone theorem [5],2 if X is compact, then the topology of X is reflected in the ...
openaire   +1 more source

Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley   +1 more source

Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces

Results in Applied Mathematics
This paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces.
HanLin Li, Jiang Zhou
doaj   +1 more source

Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w

Journal of Function Spaces and Applications, 2012
The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f ...
Maciej Ciesielski, Anna Kamińska
doaj   +1 more source

A new approach for the analysis of evolution partial differential equations on a finite interval

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris   +2 more
wiley   +1 more source