Glasnik matematički, Vol. 34 No. 2, 1999.
Izvorni znanstveni članak
A necessary and sufficient for a space to be infrabarelled or polynomially infrabarrelled
Miguel Caldas Cueva
Dinamerico P. Pombo Jr.
Sažetak
A locally convex space E is infrabarrelled (resp. polynomially infrabarrelled) if and only if, for every Banach space F (resp. for every positive integer m and for every Banach space F), the space of all continous linear mappings from E into F (resp. the space of all continuous m-homogeous polynomials form E into F) is quasi-complete for the topology of bounded convergence.
Ključne riječi
Locally convex spaces; continuous m-homogeneous polynomials; topology of bounded convergence; equicontinuous sets
Hrčak ID:
6419
URI
Datum izdavanja:
1.12.1999.
Posjeta: 865 *