On strongly decomposable operators

I. Erdélyi and Sheng-Wang Wang

Vol. 110 (1984), No. 2, 287–296

DOI: 10.2140/pjm.1984.110.287

Abstract

A strongly decomposable operator, as defined by C. Apostol, is a bounded linear operator T which, for every spectral maximal space Y , induces two decomposable operators: the restriction T∣Y and the coinduced T∕Y on the quotient space X∕Y . In this paper, we give some necessary and sufficient conditions for an operator to be strongly decomposable.

Mathematical Subject Classification 2000

Primary: 47B40

Milestones

Received: 4 June 1982

Revised: 26 July 1982

Published: 1 February 1984