The Cesàro operator on smooth sequence spaces of finite type

DOI10.1007/S13398-018-0578-9OpenAlexW3101466091MaRDI QIDQ2317531

Ersin Kizgut

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08493

zbMATH Keywords

spectrumFréchet spaceCesàro operatorgeneralized power series spacessmooth sequence spaces of finite type

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (2)

On the spectrum of isomorphisms defined on the space of smooth functions which are flat at $0$ ⋮ The Cesàro operator on duals of smooth sequence spaces of infinite type

Cites Work

• Mean ergodicity and spectrum of the Cesàro operator on weighted \(c_0\) spaces
• Linear topological structure of closed ideals in weighted algebras of entire functions
• On Dragilev spaces and the functor Ext
• The Fréchet spaces \(ces(p+)\), \(1<p<\infty\)
• Convergence of arithmetic means of operators in Fréchet spaces
• Die diametrale Dimension von lokalkonvexen Räumen
• THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ AND L^p−
• The Cesàro operator on power series spaces
• On The Spectrum of the Cesaro Operator
• Subspaces of smooth sequence spaces
• Stability of smooth sequence spaces.
• Smooth Sequence Spaces and Associated Nuclearity
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