Sequential Evaluation Convergence of Operator Series and Its Application

DOI10.1080/01630563.2020.1813170zbMath1468.40006OpenAlexW3081539118MaRDI QIDQ5150868

Hongli Liu, Guan-qi Liu

Publication date: 15 February 2021

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1813170

zbMATH Keywords

totally boundedinfinite matrix transformationalmost bounded\( \beta \)-dual

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Summability in abstract structures (40J05)

Cites Work

• Full invariants on certain class of abstract dual systems
• Infinite matrices of operators
• The uniform forward sets of \(C(X)\) and uniform convergence of operator series
• ON UNCONDITIONAL CONVERGENCE OF LINEAR OPERATORS
• Invariants in abstract mapping pairs
• Sequential-Evaluation Convergence
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