Upper triangular matrix operators with diagonal \((T_1,T_2)\), \(T_2\) \(k\)-nilpotent

DOI10.1007/s12215-013-0104-zzbMath1295.47013OpenAlexW2474952989MaRDI QIDQ369364

Bhaggy Duggal

Publication date: 24 September 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-013-0104-z

zbMATH Keywords

Hilbert spacesupercyclicity\(\ast\)-paranormal operators\(k\)-quasi \(p\)-hyponormal\(M\)-hyponormalBrowder and Weyl theoremsparanormal

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

PF property and property \((\beta )\) for paranormal operators

Cites Work

• On quasi-class \(\mathcal A\) contractions
• On \(\ast\)-paranormal contractions and properties for \(\ast\)-class \(A\) operators
• On \(p\)-quasi-hyponormal operators
• Polaroid type operators under quasi-affinities
• On characterising contractions with \(C_{10}\) pure part
• Local spectral theory of linear operators RS and SR
• On (n,k)-quasiparanormal operators
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• A note on k-paranormal operators
• An Operator Inequality Which Implies Paranormality
• On (p,k)-quasihyponormal operators
• On the axiomatic theory of spectrum II
• ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM
• HYPONORMAL OPERATORS, WEIGHTED SHIFTS AND WEAK FORMS OF SUPERCYCLICITY
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