A JORDAN-LIKE DECOMPOSITION IN THE NONCOMMUTATIVE SCHWARTZ SPACE

DOI10.1017/S0004972714001087zbMath1337.46003OpenAlexW2130138619MaRDI QIDQ5245719

Krzysztof Piszczek

Publication date: 14 April 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972714001087

zbMATH Keywords

Fréchet spacepositive functionalminimal decompositionnoncommutative Schwartz spacedecomposition into a difference of two positive functionalsdual of the spacefunctionals on Schwartz spaceJordan-like decomposition

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of topological algebras (46H05) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Noncommutative function spaces (46L52) General theory of topological algebras with involution (46K05)

Related Items (5)

Decomposition of self-adjoint mappings acting on the noncommutative Schwartz space ⋮ Commutative subalgebras of the algebra of smooth operators ⋮ Grothendieck’s inequality in the noncommutative Schwartz space ⋮ Self-derivations on the noncommutative Schwartz space ⋮ One-sided ideals of the non-commutative Schwartz space

Cites Work

• Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities
• Cyclic cohomology for one-parameter smooth crossed products
• Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka's principle, K-theory and noncommutative dynamical systems)
• On the algebra of smooth operators
• SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS
• K-THEORY FOR FRÉCHET ALGEBRAS

This page was built for publication: A JORDAN-LIKE DECOMPOSITION IN THE NONCOMMUTATIVE SCHWARTZ SPACE