Maps on essentially infinite idempotent operators

DOI10.1016/j.jmaa.2011.08.062zbMath1232.47033OpenAlexW2019086461MaRDI QIDQ645366

Lucijan Plevnik

Publication date: 15 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.062

zbMATH Keywords

orthogonalitypartial ordercommutativitypreserversidempotent operators on Hilbert spaces

Mathematics Subject Classification ID

Partial orders, general (06A06) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Maps on idempotent operators with infinite-dimensional kernel ⋮ Orthogonal apartments in Hilbert Grassmannians

Cites Work

• Order preserving transformations of the Hilbert Grassmannian (note on the complex case)
• An elementary proof of the fundamental theorem of projective geometry
• Orthogonality preserving transformations on the set of \(n\)-dimensional subspaces of a Hilbert space
• Automorphisms of the poset of skew projections
• Order preserving transformations of the Hilbert Grassmannian
• Isomorphisms of normed linear spaces
• The Unconditional Basic Sequence Problem
• On Isomorphisms of Lattices of Closed Subspaces
• Maps on idempotents

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