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Nuclear Space Facts, Strange and Plain
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
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Orthogonality in smooth countably normed spaces
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
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Solving dual integral equations on Lebesgue spaces [PDF]
We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh's type. We reformulate these equations giving a better description in terms of continuous operators on Lp spaces, and we solve them in ...
Juan Varona +11 more
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The second dual spaces of the sets of Λ-strongly convergent and bounded sequences
We give the second β-, γ-, and f-duals of the sets w0p(Λ), w∞p(Λ ...
A. M. Jarrah, E. Malkowsky
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On manimax theory in two Hilbert spaces
In this paper, we investigated the minimax of the bifunction J:H1(Ω)xV2→RmxRn, such that J(v1,v2)=((12a(v1,v1)−L(v1)),v2) where a(.,.) is a finite symmetric bilinear bicontinuous, coercive form on H1(Ω) and L belongs to the dual of H1(Ω).
E. M. El-Kholy, Hanan Ali Abdou
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A Study of Spaces of Sequences in Fuzzy Normed Spaces
In this paper, spaces of sequences in fuzzy normed spaces are considered. These spaces are a new concept in fuzzy normed spaces. We develop fuzzy norms for spaces of sequences in fuzzy normed spaces. Especially, we study the representation of the dual of
Ju-Myung Kim, Keun-Young Lee
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Continuous $k$-Fusion Frames in Hilbert Spaces [PDF]
The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for
Vahid Sadri +3 more
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A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces
In this paper, approximation properties in Felbin-fuzzy normed spaces are studied. These approximation properties have been recently introduced in Felbin-fuzzy normed spaces. We make topological tools to analyze such approximation properties.
Ju Myung Kim, Keun Young Lee
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A weakly Stegall space that is not a Stegall space
A topological space X is said to belong to the class of Stegall (weakly Stegall) spaces if for every Baire (complete metric) space B and minimal usco φ : B2X, φ is single-valued at some point of B.
Moors, Warren B. +3 more
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Urban Underground Space Planning Idea and Path Based on a “Dual-Use” Concept [PDF]
As global climate change and urbanization processes accelerate, the risks of compound disasters have significantly increased, rendering traditional disaster prevention facilities inadequate for meeting emergency demands under extreme scenarios. The “dual-
Wei Wang +5 more
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