Skip to main content
Log in

On Pitt’s Theorem for Operators between Scalar and Vector-Valued Quasi-Banach Sequence Spaces

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

(Received 21 June 1999; in revised form 27 September 1999)

Rights and permissions

Reprints 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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s006050050083

Navigation