مقاله

Embedding measure spaces

چکیده

For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification occurs.

اسناد مشابه

  • embedding measure spaces

    مقالهbulletin of the iranian mathematical societym.r. koushesh, isfahan university of technology

    ‎for a given measure space $(x,{mathscr b},mu)$ we construct all measure spaces $(y,{mathscr c},lambda)$ in which $(x,{mathscr b},mu)$ is embeddable‎. ‎the construction is modeled on the ultrafilter construction of the stone--v{c}ech compactification of a completely regular topol

  • L-embedded Banach spaces and measure topology

    سند علمی۲۰۰۰H. Pfitzner

    An L-embedded Banach spaace is a Banach space which is complemented in its bidual such that the norm is additive between the two complementary parts. On such spaces we define a topology, called an abstract measure topology, which by known results coincides with the usual measure

  • A separable L-embedded Banach space has property (X) and is therefore the unique predual of its dual

    سند علمی۲۰۰۵H. Pfitzner

    We say that a Banach space X is the unique predual of its dual (more precisely the unique isometric predual of its dual) in case it is isometric to any Banach space whose dual is isometric to the dual of X. (We say that two Banach spaces Y and Z are isomorphic if there is a bound

  • Remarks on the Embedding of Spaces of Distributions into Spaces of Colombeau Generalized Functions

    سند علمی۲۰۰۵Antoine Delcroix, A. Delcroix

    We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. Following ideas of M. Nedeljkov et al., we recall how a good choice of compactly supported mollifiers allows to perform globally the embedding of D′ (Ω)

  • A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space

    سند علمی۲۰۱۶JOHN C. BOWERS, PHILIP L. BOWERS

    We present geometric proofs of Menger’s results on isometrically embedding metric spaces in Euclidean space. In 1928, Karl Menger [6] published the proof of a beautiful characterization of those metric spaces that are isometrically embeddable in the ndimensional Euclidean space E

  • On embedding separable spaces $${\mathcal {C}}(L)$$ in arbitrary spaces $${\mathcal {C}}(K)$$

    مقاله۲۰۲۵Banach Journal of Mathematical AnalysisJakub Rondoš, Damian Sobota

    Abstract Supplementing and expanding classical results, for compact spaces K and L, L metric, and their Banach spaces $${\mathcal {C}}(L)$$ C ( L ) and $${\mathcal {C}}(K)$$ C ( K ) of continuous real-valued functions, we provide several characterizations of the existence of isom