Results 71 to 80 of about 140 (137)

Metrizability of Adjunction Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
In a recent conversation with E. A. Michael and D. Hyman the following natural question was raised: Are the M-spaces of Hyman (see Definition 3.1) metrizable whenever they are first countable? We will answer this question affirmatively. Indeed, we will prove the somewhat stronger result that the M-spaces of Hyman are metrizable whenever they are of ...
openaire   +2 more sources

Strong Metrizability for Closed Operators and the Semi-Fredholm Operators between Two Hilbert Spaces

open access: yesInternational Journal of Analysis and Applications, 2015
To be able to refine the completion of C(H1, H2), the of set all closed densely defined linear operators between two Hilbert spaces  H1 and H2, we define in this paper some new strictly stronger metrics than the gap metric g and we characterize the ...
Mohammed Benharrat, Bekkai Messirdi
doaj   +2 more sources

Metrization of Proximity Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
0. Introduction. Our purpose here is to present a metrization criterion for proximity spaces that is analogous to R. L. Moore's criterion for topological spaces [8]. Where Moore's criterion demands a sequence of open coverings, our criterion requires "admissible" coverings.
openaire   +1 more source

Compact Resolutions and Analyticity

open access: yesMathematics
We consider the large class G of locally convex spaces that includes, among others, the classes of (DF)-spaces and (LF)-spaces. For a space E in class G we have characterized that a subspace Y of (E,σ(E,E′)), endowed with the induced topology, is ...
Salvador López-Alfonso   +2 more
doaj   +1 more source

Metrizations of Projective Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1957
A two-dimensional G-space,1 in which the geodesic through two distinct points is unique, is either homeomorphic to the plane E2 and all geodesics are isometric to a straight line, or it is homeomorphic to the projective plane p2 and all geodesics are isometric to the same circle, see [1, ??10 and 31]. Two problems arise in either case: (1) To determine
openaire   +1 more source

On metrizability of the free monoids

open access: yesDiscrete Mathematics, 1976
AbstractA complete solution is given of the problem of S. Marcus concerning the construction of a “better” distance in the free monoids from the viewpoint of measuring the difference of contextual behaviour with respect to a given language.
openaire   +1 more source

Bishop-Phelps Theorem for Normed Cones

open access: yesپژوهش‌های ریاضی, 2019
Introduction In the last few years there is a growing interest in the theory of quasi-metric spaces and other related structures such as quasi-normed cones and asymmetric normed linear spaces, because such a theory provides an important tool in the study
Ildar Sadeghi, Ali Hassanzadeh
doaj  

Ong-metrizability [PDF]

open access: yesPacific Journal of Mathematics, 1982
openaire   +2 more sources

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