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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
(Received 21 June 1999; in revised form 27 September 1999)
Rights and permissions
About this article
Cite this article
Defant, A., Molina, J. & Rivera, M. On Pitt’s Theorem for Operators between Scalar and Vector-Valued Quasi-Banach Sequence Spaces. Mh Math 130, 7–18 (2000). https://doi.org/10.1007/s006050050083
Issue Date:
DOI: https://doi.org/10.1007/s006050050083