On supportless absorbing convex subsets in normed spaces

• Autorzy: V. P. Fonf
• Języki publikacji: EN

Abstrakty

EN

It is proved that a separable normed space contains a closed bounded convex symmetric absorbing supportless subset if and only if this space may be covered (in its completion) by the range of a nonisomorphic operator.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 104
• Numer: 3
• Strony: 279-284

Daty

wydano

1993

otrzymano

1992-05-13

Twórcy

autor

V. P. Fonf

• Kharkov Institute of Railway Engineering, Feuerbach SQ., 7, 310050 Kharkov, Ukraine

Bibliografia

• [1] E. Bishop and R. R. Phelps, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc. 67 (1961), 97-98.
• [2] J. M. Borwein and D. W. Tingley, On supportless convex sets, Proc. Amer. Math. Soc. 94 (1985), 471-476.
• [3] V. Klee, Extremal structure of convex sets. II, Math. Z. 69 (1958), 90-104.