Results 61 to 70 of about 367,563 (325)
Weak compactness in locally convex spaces [PDF]
The notion of weak compactness plays a central role in the theory of locally convex topological vector spaces. However, in the statement of many theorems, completeness of the space, or at least quasi-completeness of the space in the Mackey topology is an important assumption.
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An innovative medium entropy alloy (MEA) composite material was fabricated via micro laser powder bed fusion (μ‐LPBF) with appropriate nano‐ceramic particles doping and exhibited markedly improved overall performance, including synergistically enhanced strength and ductility, increased hardness and compressive strength, improved wear resistance and ...
Zhonglin Shen, Mingwang Fu
wiley +1 more source
On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups
Let 𝐺 be a locally compact group with a fixed left Haar measure 𝜆 and Ω be a system of weights on 𝐺. In this paper, we deal with locally convex space 𝐿𝑝(𝐺,Ω) equipped with the locally convex topology generated by the family of norms (‖.‖𝑝,𝜔)𝜔∈Ω. We study
I. Akbarbaglu, S. Maghsoudi
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Exotic smooth structures on nonpositively curved symmetric spaces
We construct series of examples of exotic smooth structures on compact locally symmetric spaces of noncompact type. In particular, we obtain higher rank examples, which do not support Riemannian metric of nonpositive curvature.
Aravinda +8 more
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Quantum locally compact metric spaces
We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel. We then provide several examples of such structures, including the Moyal plane, as well as compact quantum metric ...
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Dual‐cation site engineering unlocks stable and fast sodium storage in Na4VMn(PO4)3 cathodes. Li+ at Na2 suppresses Jahn‐Teller distortion, while K+ at Na1 expands ion channels, enabling synchronized V/Mn redox and quasi‐single‐phase kinetics. This atomic‐level strategy achieves ultralong cycling stability, high‐rate capability, and full cell viability
Jiaze Sun +8 more
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On the Fuzzy Number Space with the Level Convergence Topology
We characterize compact sets of 𝔼1 endowed with the level convergence topology τℓ. We also describe the completion (𝔼1̂,𝒰̂) of 𝔼1 with respect to its natural uniformity, that is, the pointwise uniformity 𝒰, and show other topological properties of 𝔼1 ...
J. J. Font, A. Miralles, M. Sanchis
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Localic completion of uniform spaces [PDF]
We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised ...
Tatsuji Kawai
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On continuity of measurable group representations and homomorphisms [PDF]
Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of linear bounded operators on H with weak operator topology. We prove that if U is a measurable map from G to L(H) then it is continuous.
Kuznetsova, Yulia
core
Diffusion on locally compact ultrametric spaces
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DEL MUTO M, FIGA' TALAMANCA, Alessandro
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