On linear operators and bases on Köthe spaces

DOI10.21042/AMNS.2016.2.00047OpenAlexW2565493606MaRDI QIDQ4597676

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Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2016.2.00047

zbMATH Keywords

linear operatorsshift operatorsKöthe spaces

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

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Cites Work

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• Convergent expansions and bounded operators in the umbral calculus
• Dense subspaces of entire functions
• Generalized Abel-Goncarov bases in spaces of holomorphic functions
• Operators commuting with the shift on sequence spaces
• Abel-Goncarov polynomial expansions
• Abel-Gončarov Polynomial Expansions in Spaces of Holomorphic Functions
• Complete biorthogonal systems in nuclear (F) - spaces
• THE MATRIX METHOD AND QUASI-POWER BASES IN THE SPACE OF ANALYTIC FUNCTIONS IN A DISC
• Weighted Shifts and Banach Algebras of Power Series
• Generalized Gončarov Polynomials
• Weighted shift operators on Köthe spaces
• INVARIANT SUBSPACES OF WEIGHTED SHIFT OPERATORS
• BASICITY AND UNICELLULARITY OF WEIGHTED SHIFT OPERATORS
• Operators Commuting with a Weighted Shift
• Cyclic Vectors and Parts of the Spectrum of a Weighted Shift

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