scientific article

zbMath0437.46020MaRDI QIDQ3878197

Roger Plymen

Publication date: 1980

Full work available at URL: http://www.numdam.org/item?id=CM_1980__41_1_137_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Dirac operatorspin representationBanach-Lie groupspinor representationsspinor Laplaciannuclear spinor fieldsprojective tensor product of Hilbert spaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General theory of partial differential operators (47F05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Spin and Spin({}^c) geometry (53C27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Inner product spaces and their generalizations, Hilbert spaces (46C99) Tensor products in functional analysis (46M05) Distributions on infinite-dimensional spaces (46F25)

Cites Work

• Automorphisms and quasi-free states fo the CAR algebra
• Harmonic spinors
• Clifford modules
• Potential theory on Hilbert space
• The even CAR-algebra
• On the infinite dimensional Laplacian operator
• Spin structures on manifolds
• La théorie de Fredholm
• Spinors in Hilbert space
• Produits tensoriels topologiques et espaces nucléaires
• A Theory of Cross-Spaces. (AM-26)
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