Results 21 to 30 of about 6,647,962 (373)

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

Geometric duality theory of cones in dual pairs of vector spaces [PDF]

open access: yes, 2015
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
core   +1 more source

New results on q-positivity [PDF]

open access: yes, 2011
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
core   +3 more sources

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

Embedding Properties of sets with finite box-counting dimension [PDF]

open access: yes, 2019
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.
core   +2 more sources

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

Dual polar spaces of arbitrary rank [PDF]

open access: yes, 2011
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
core   +2 more sources

Eight-Dimensional Self-Dual Spaces [PDF]

open access: yes, 1998
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
core   +2 more sources

The second dual spaces of the sets of Λ-strongly convergent and bounded sequences

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We give the second β-, γ-, and f-duals of the sets w0p(Λ), w∞p(Λ ...
A. M. Jarrah, E. Malkowsky
doaj   +1 more source

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