ISSN:
1436-5081
Keywords:
1991 Mathematics Subject Classification: 46M05
;
46A32
;
Key words: Compact operators
;
Pitt’s theorem
;
quasi-Banach sequence spaces
;
convexity
;
concavity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. We find natural conditions under which all continuous linear operators between two scalar or vector-valued quasi-Banach sequence spaces are compact. In the case of scalar-valued Banach sequence spaces we show that all such operators essentially factorize through diagonal operators between suitable -spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s006050050083
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