On the structure of graded Hilbert spaces

DOI10.1016/J.TOPOL.2011.09.045zbMath1245.46038OpenAlexW1983883387MaRDI QIDQ409714

Antonio Jesús Calderón Martín

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.045

zbMATH Keywords

topological algebragraded idealsalgebra idealsgraded Hilbert spacesymmetric support

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Graded rings and modules (associative rings and algebras) (16W50) Structure, classification of topological algebras (46H20)

Cites Work

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• On simple split Lie triple systems
• On split Lie algebras with symmetric root systems
• Structure theorems for Ambrose algebras
• Gradings on the Albert algebra and on \(\mathfrak{f}_4\)
• On the structure of graded Lie algebras
• Fine gradings of o(4,C)
• Gradings on the real forms of the Albert algebra, of g2, and of f4
• Structure Theorems for a Special Class of Banach Algebras

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