Abstract sliding hump technique and characterization of barrelled spaces. (English) Zbl 0711.46004

Noll, Dominikus; Stadler, Wolfgang

Stud. Math. 94, No. 2, 103-120 (1989).

Summary: We present an abstract sliding hump technique in a purely functional- analytic setting, leading to a characterization of certain barrelled spaces. We obtain applications in summability theory and in the theory of function spaces.

MSC:

46A08	Barrelled spaces, bornological spaces
46A45	Sequence spaces (including Köthe sequence spaces)

Keywords:

abstract sliding hump technique; characterization of certain barrelled spaces; summability theory; function spaces