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Everything about Operator algebra
Branch of functional analysis
In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Operator algebraA 5-minute orientation
- Skim a recent paper: Ginkgo : A Modern Linear Operator Algebra Framework for High Performance ComputingInfluential work since 2022
- Pick up a classic book: Linear operatorsThe most-reprinted book on the subject
- Read the landmark paper: The operator algebra of orbifold modelsCited 371 times
- Go sideways: C*-algebraA closely related topic
- Go sideways: Glossary of functional analysisA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The operator algebra of orbifold models
Conditional expectation in an operator algebra, I
Fourier optics described by operator algebra
The dual space of an operator algebra
On the conjugate space of operator algebra
Conditional expectation in an operator algebra, II
Operator algebra of dual resonance models
Facial Structure in Operator Algebra Theory
🆕 Influential since 2022
Ginkgo : A Modern Linear Operator Algebra Framework for High Performance Computing
Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra
Stabilizer Formalism for Operator Algebra Quantum Error Correction
Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra
RB-operator and Nijenhuis operator on Hom-associative conformal algebra
📚 Books worth reading
Linear operatorsNelson Dunford, Neilson Dunford · 1957
Moonshine beyond the MonsterTerry Gannon · 2006
Practical linear algebraGerald Farin, Dianne Hansford · 2004
Fundamentals of the theory of operator algebrasRichard V. Kadison, John R. Ringrose · 1983
Fundamentals of the Theory of Operator AlgebrasKADISON, RINGROSE · 2011
Partial *-algebras and their operator realizationsJean Pierre Antoine, Jean-Pierre Antoine · 2002
K-theory for operator algebrasBruce Blackadar · 1986
Introduction to Vertex Operator Algebras and Their RepresentationsJames Lepowsky, Haisheng Li · 2003
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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