Extensions of bitriangular operators Academic Article

abstract

• We prove that every one-dimensional extension of a bitriangular operator has a cyclic commutant. We also prove that if T is an extension of a bitriangular operator by an algebraic operator, then the weakly closed algebra W(T) generated by T has a separating vector.

authors

• Larson, David

published proceedings

• INTEGRAL EQUATIONS AND OPERATOR THEORY

author list (cited authors)

• Larson, D. R., & Wogen, W. R.

citation count

• 1

complete list of authors

• Larson, DR||Wogen, WR

publication date

• June 1996

publisher

• Springer Nature  Publisher

published in

• Integral Equations and Operator Theory  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/BF01308631

start page

• 216

end page

• 223

volume

• 25

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01308631