On The Adjoint of Bounded Operators On A Semi-Inner Product Space

DOI10.22342/jims.29.3.1598.311-321OpenAlexW4390845347WikidataQ130029732 ScholiaQ130029732MaRDI QIDQ6154755

Unnamed Author, Unnamed Author, Pudji Astuti, Fajar Yuliawan, Elvira Kusniyanti

Publication date: 16 February 2024

Published in: Journal of the Indonesian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22342/jims.29.3.1598.311-321

zbMATH Keywords

Riesz representation theoremadjointsemi-inner product spacebounded operator

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• \(A\)-\(m\)-isometric operators in semi-Hilbertian spaces
• Metric properties of projections in semi-Hilbertian spaces
• Compact linear operators on functional spaces with two norms
• Anderson's theorem and \(A\)-spectral radius bounds for semi-Hilbertian space operators
• Orthogonality and norm attainment of operators in semi-Hilbertian spaces
• Operators on positive semidefinite inner product spaces
• Birkhoff-James orthogonality of operators in semi-Hilbertian spaces and its applications
• \((\alpha ,\beta )\)-\(A\)-normal operators in semi-Hilbertian spaces
• Partial isometries in semi-Hilbertian spaces
• Normalisable transformations in Hilbert space and systems of linear integral equations
• \((\varepsilon,A)\)-approximate numerical radius orthogonality and numerical radius derivative
• Spectral decomposition of selfadjoint matrices in positive semidefinite inner product spaces and its applications
• Closed operators in semi-Hilbertian spaces
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