Glasnik matematički, Vol. 33 No. 1, 1998.
Izvorni znanstveni članak
On a characterization of polynomially barrelled spaces
Miguel Caldas Cueva
Dinamerico P. Pombo Jr.
Sažetak
A locally convex space E is polynomially barrelled if and only if, for every positive integer m and for every Banach space F, the space of all continuous m-homogeneous polynomials from E into F is quasi-complete for the topology of pointwise convergence.
Ključne riječi
Locally convex spaces; continuous m-homogeneous polynomials; topology of pointwise convergence; equicontinuous sets; closed graph theorem
Hrčak ID:
8174
URI
Datum izdavanja:
1.6.1998.
Posjeta: 771 *