On structure of absolutely summing mappings. (English) Zbl 0682.47009

Kumar Mishra, Shiva

Math. Educ. 23, No. 1, 7-15 (1989).

Summary: Absolutely summing and quasinuclear maps as well as nuclear bilinear forms on duals and quotients of locally convex spaces are studied.

MSC:

47B10	Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46A13	Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11	Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)

Keywords:

Absolutely summing and quasinuclear maps; nuclear bilinear forms; quotients of locally convex spaces