Results 31 to 40 of about 5,128,390 (250)
Networks for the weak topology of Banach and Fréchet spaces [PDF]
, 2014 We start the systematic study of Frechet spaces which are ℵ-spaces in the weak topology. A topological space X is an ℵ 0 -space or an ℵ-space if X has a countable k-network or a σ-locally finite k-network, respectively.
S. Gabriyelyan +4 more
semanticscholar +1 more source
Concrete functors that respect initiality and finality
Applied General Topology, 2023 We study concrete endofunctors of the category of convergence spaces and continuous maps that send initial maps to initial maps or final maps to final maps. The former phenomenon turns out to be fairly common while the latter is rare.
Frédéric Mynard
doaj +1 more source
An internal characterisation of radiality [PDF]
, 2014 In this paper, we will investigate how radiality occurs in topological spaces by considering neighbourhood bases generated by nests. We will define a new subclass of radial spaces, called the independently-based spaces, that contains LOTS, GO-spaces and ...
Leek, Robert
core +3 more sources
Distributionally chaotic families of operators on Fréchet spaces
, 2016 The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and $C_0$-semigroups.
Marina Murillo‐Arcila +3 more
semanticscholar +1 more source
ℐ𝒦-SEQUENTIAL AND ℐ𝒦-FRÉCHET-URYSOHN SPACES
Проблемы анализаNotions of ℐ^𝒦-Fréchet-Urysohn and ℐ^𝒦-sequential spaces are studied by letting ideals ℐ, 𝒦 of subsets of natural numbers to play measurable role in the well-established concepts of Fréchet Urysohn and sequential spaces. Relation among those spaces in
Sima Roy, Manoranjan Singha
doaj +1 more source
Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]
Archives of Control SciencesThis paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad +1 more
doaj +1 more source
Strongly continuous semigroups on some Fréchet spaces [PDF]
, 2013 We prove that for a strongly continuous semigroup T on the Frechet space ω of all scalar sequences, its generator is a continuous linear operator A ∈ L ( ω ) and that, for all x ∈ ω and t ⩾ 0 , the series exp ( t A ) ( x ) = ∑ k = 0 ∞ t k k !
L. Frerick +3 more
semanticscholar +1 more source
Stein manifolds M for which O(M) has the property Ω-tilda (Dedicated to Mikhail Mikhaylovich Dragilev on the occation of his 90th birthday) [PDF]
, 2013 In this note, we consider the linear topological invariant Ω-tilda for Fréchet spaces of global analytic functions on Stein manifolds. We show that O(M), for a Stein manifold M, enjoys the property Ω-tilda if and only if every compact subset of M lies ...
Aytuna, Aydın, Aytuna, Aydin
core +1 more source
Solid Harmonic Wavelet Bispectrum for Image Analysis
Advanced Science, EarlyView.The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 1990 It is proved in [1] & [2] that a set bounded in an inductive limit E=indlim En of Fréchet spaces is also bounded in some En iff E is fast complete. In the case of arbitrary locally convex spaces En every bounded set in a fast complete indlim En is quasi ...
Jan Kucera
doaj +1 more source