Contractions satisfying the absolute value property \(| A|^2\leq| A^2|\)
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Publication:1882429
DOI10.1007/s00020-002-1202-zzbMath1092.47034OpenAlexW2316867606MaRDI QIDQ1882429
Carlos S. Kubrusly, Bhaggy Duggal, In Ho Jeon
Publication date: 1 October 2004
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-002-1202-z
Linear operator inequalities (47A63) Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Commutators, derivations, elementary operators, etc. (47B47)
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Contractions without non-trivial invariant subspaces satisfying a positivity condition ⋮ On quasi-class \(\mathcal A\) contractions ⋮ The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF ⋮ ON k-QUASI-CLASS A CONTRACTIONS
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