Sums and Products of Cyclic Operators

DOI10.2307/2161173zbMath0816.47015OpenAlexW3149386245MaRDI QIDQ4318336

Pei Yuan Wu

Publication date: 16 February 1995

Full work available at URL: https://doi.org/10.2307/2161173

zbMATH Keywords

triangular operatorevery bounded linear operator on a complex separable Hilbert space is the sum of two cyclic operatorsproduct of finitely many cyclic operators

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Structure theory of linear operators (47A65) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items

Sums of hypercyclic operators., Approximation by chaotic operators and by conjugate classes., A Convergence Result for Some Krylov–Tikhonov Methods in Hilbert Spaces, Convex-cyclic weighted composition operators and their adjoints, The testing ground of weighted shift operators for hypercyclicity, Frame-cyclic operators and their properties, Dynamics of weighted composition operators and their adjoints on the Fock space

Cites Work

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• The Jordan form of a bitriangular operator
• On the multiplicity of T\(\oplus T\oplus \cdot \cdot \cdot \oplus T\)
• A note on quasitriangular operators
• Products of shifts