A geometric characterization of range-kernel complementarity

DOI10.1016/J.LAA.2023.03.014OpenAlexW4327572255MaRDI QIDQ2701038

Nikolaos G. Yannakakis, Dimos Drivaliaris

Publication date: 27 April 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.08471

zbMATH Keywords

products of projectionsamplitude of an operatorangle of an operatorrange-kernel complementarity

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• Classes of linear operators. Vol. I
• The angle along a curve and range-kernel complementarity
• Angular localization of the spectrum of a multiplicative integral in a Hilbert space
• Ranges of quasi-nilpotentoperators
• The angle of an operator and range-kernel complementarity
• Geometric, spectral and asymptotic properties of averaged products of projections in Banach spaces
• The angle of an operator and positive operator products

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