Operators with finite ascent and descent

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Ascent and Descent for Sets of Operators

We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 1966

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1966.18.437