Results 1 to 10 of about 60,962 (264)

Pre-Dual of Fofana’s Spaces

open access: yesMathematics, 2019
The purpose of this paper is to characterize the pre-dual of the spaces introduced by I. Fofana on the basis of Wiener amalgam spaces. These spaces have a specific dilation behaviour similar to the spaces L α ( R d ) .
Hans G. Feichtinger, Justin Feuto
doaj   +3 more sources

Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences

open access: yesEurasian Journal of Science and Engineering, 2021
In this paper, we define some new almost and strongly almost convergent double sequence spaces B ̃(C_f), B ̃(C_f0), B ̃[C_f] and B ̃[C_f0] derived by the domain of four-dimensional sequential band matrix B(r ̃,s ̃,t ̃,u ̃) in the spaces C_f, C_f0 , [C_f]
Orhan Tuğ
doaj   +1 more source

On locally Hilbert spaces [PDF]

open access: yesOpuscula Mathematica, 2016
This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.
Aurelian Gheondea
doaj   +1 more source

On the Domain of the Four-Dimensional Sequential Band Matrix in Some Double Sequence Spaces

open access: yesMathematics, 2020
Let E represent any of the spaces M u , C ϑ ( ϑ = { b , b p , r } ) , and L q ( 0
Orhan Tuğ   +2 more
doaj   +1 more source

The dual of the space of bounded operators on a Banach space

open access: yesConcrete Operators, 2021
Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of
Botelho Fernanda, Fleming Richard J.
doaj   +1 more source

Dual Spaces of Multiparameter Local Hardy Spaces

open access: yesJournal of Function Spaces, 2021
In this paper, we study the duality theory of the multiparameter local Hardy spaces hpℝn1×ℝn2, and we prove that hpℝn1×ℝn2∗=cmopℝn1×ℝn2, where cmopℝn1×ℝn2 are defined by discrete Carleson measure.
Wei Ding, Feng Yu
doaj   +1 more source

Web spaces and worldwide web spaces: topological aspects of domain theory [PDF]

open access: yesLogical Methods in Computer Science, 2019
Web spaces, wide web spaces and worldwide web spaces (alias C-spaces) provide useful generalizations of continuous domains. We present new characterizations of such spaces and their patch spaces, obtained by joining the original topology with a second ...
Marcel Erné
doaj   +1 more source

On some spaces of summable sequences and their duals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
Suppose that S is the space of all summable sequences α with ‖α‖S=supn≥0|∑j=n∞αj| and J the space of all sequences β of bounded variation with ‖β‖J=|β0|+∑j=1∞|βj−βj−1|.
Geraldo Soares de Souza, G. O. Golightly
doaj   +1 more source

Nuclear Space Facts, Strange and Plain

open access: yesMathematics, 2016
We present a scenic but practical guide through nuclear spaces and their dual spaces, examining useful, unexpected, and often unfamiliar results both for nuclear spaces and their strong and weak duals.
Jeremy Becnel, Ambar Sengupta
doaj   +1 more source

Orthogonality in smooth countably normed spaces

open access: yesJournal of Inequalities and Applications, 2021
We generalize the concepts of normalized duality mapping, J-orthogonality and Birkhoff orthogonality from normed spaces to smooth countably normed spaces.
Sarah Tawfeek   +2 more
doaj   +1 more source

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