Vol. 110, No. 2, 1984

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On strongly decomposable operators

I. Erdélyi and Sheng-Wang Wang

Vol. 110 (1984), No. 2, 287–296
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 TY 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
Authors
I. Erdélyi
Sheng-Wang Wang