Results 21 to 30 of about 6,647,962 (373)
Web spaces and worldwide web spaces: topological aspects of domain theory [PDF]
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
Geometric duality theory of cones in dual pairs of vector spaces [PDF]
This paper will generalize what may be termed the "geometric duality theory" of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual cone in the dual Banach space ...
Messerschmidt, Miek
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New results on q-positivity [PDF]
In this paper we discuss symmetrically self-dual spaces, which are simply real vector spaces with a symmetric bilinear form. Certain subsets of the space will be called q-positive, where q is the quadratic form induced by the original bilinear form.
F.A. Valentine +12 more
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On some spaces of summable sequences and their duals
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
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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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Embedding Properties of sets with finite box-counting dimension [PDF]
In this paper we study the regularity of embeddings of finite--dimensional subsets of Banach spaces into Euclidean spaces. In 1999, Hunt and Kaloshin [Nonlinearity 12 1263-1275] introduced the thickness exponent and proved an embedding theorem for ...
Margaris, Alexandros, Robinson, James C.
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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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Dual polar spaces of arbitrary rank [PDF]
In 1982 P. Cameron gave a characterisation of dual polar spaces of finite rank viewed as point-line spaces. This characterisation makes essential use of the fact that dual polar spaces of finite rank have finite diameter.
Huggenberger, Simon
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Eight-Dimensional Self-Dual Spaces [PDF]
We discuss higher-dimensional gravitational instantons by studying appropriate self-duality equations for the spin connection. In seven and in eight dimensions, the corresponding spaces admit a covariantly constant spinor and have holonomies in G_2 and ...
A. Kehagias +14 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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