On the closedness of the sum of subspaces of the space $B(H,Y)$ consisting of operators whose kernels contain given subspaces of $H$

DOI10.4064/cm8719-12-2022OpenAlexW4322705005MaRDI QIDQ6086101

Ivan S. Feshchenko

Publication date: 9 November 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8719-12-2022

zbMATH Keywords

Hilbert spaceBanach spaceorthogonal projectioncontinuous linear operatorsum of closed subspacessystem of closed subspaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Spaces of operators; tensor products; approximation properties (46B28) Linear spaces of operators (47L05) Operators on Hilbert spaces (general) (47B02) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07) Operators on Banach spaces (47B01)

Cites Work

• Spaces of type \(H^\infty+C\)
• Lifting commuting operators
• On operator ranges
• When is the sum of complemented subspaces complemented?
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Unnamed Item

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