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The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.

Selections and near-selections in metric linear spaces without local convexity

Tadeusz Dobrowolski, Jan van Mill (2006)

Fundamenta Mathematicae

We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections.

Semi-algèbres fermées semi-réticulées inférieurement des espaces $C (X)$

Patrick Magnier (1973/1974)

Séminaire Choquet. Initiation à l'analyse

Semi-bornological spaces.

H.H. Schaefer, T.A. Beatty (1996)

Mathematische Zeitschrift

Semi-continuity of the face-function for a convex set.

Larry Q. Eifler (1977)

Commentarii mathematici Helvetici

Semicontinuity of the Face-Function of a Covex Set

Victor Klee, Michael Martin (1971)

Commentarii mathematici Helvetici

Semi-continuous linear lattices

Bernard Anderson, Hidegoro Nakano (1971)

Studia Mathematica

Seminorm generating relations and their Minkowski functionals.

Száz, Árpád, Túri, József (2000)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Semireflexive Spaces In Which The Theorem On The Derivative-Of-The-Inverse Fails For Frechet Derivatives.

David F. Findley (1987)

Revista colombiana de matematicas

Separability of Real Normed Spaces and Its Basic Properties

Kazuhisa Nakasho, Noboru Endou (2015)

Formalized Mathematics

In this article, the separability of real normed spaces and its properties are mainly formalized. In the first section, it is proved that a real normed subspace is separable if it is generated by a countable subset. We used here the fact that the rational numbers form a dense subset of the real numbers. In the second section, the basic properties of the separable normed spaces are discussed. It is applied to isomorphic spaces via bounded linear operators and double dual spaces. In the last section,...

Separable quotients of Banach spaces.

Jorge Mújica (1997)

Revista Matemática de la Universidad Complutense de Madrid

In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.

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