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Operator Theory and Operator Algebras Lab
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A field that explores operators acting on infinite-dimensional spaces and the algebras they form.
AboutAbout the lab
A field taking on the analysis of noncommutativity and infinite dimensionality.
Operator theory and operator algebras is a field that studies individual linear operators on Hilbert spaces (infinite matrices) and the algebraic systems they form.
The field is described as one whose real appeal lies in analyzing noncommutativity and infinite dimensionality.
The faculty members list operator algebras, group actions, spectral analysis, and quantum field theory among their research keywords.
At Kyushu University, faculty in the Analysis Division of the Faculty of Mathematics are in charge of this field.
Key terms
- Hilbert space
- The space on which linear operators act. Infinite-dimensional ones are also treated
- Linear operator
- A transformation acting on a Hilbert space. On this page it is explained as an infinite matrix
- Noncommutativity
- The property that swapping the order of a product changes the result; xy = yx does not hold
- Operator algebra
- An algebraic system formed by collecting linear operators. The two main kinds are C*-algebras and von Neumann algebras
NewsLab news
View More ↗ResearchResearch themes
Operator theory and operator algebras deals with linear operators on Hilbert spaces and the algebraic systems they form. The faculty members' pages list research keywords such as operator algebras, group actions, spectral analysis, and quantum field theory.
View More ↗
MembersFaculty
- ProfessorFumio Hiroshima
- ProfessorToshihiko Masuda
- Associate ProfessorYasuhiko Sato
- Assistant ProfessorMiho Mukohara
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The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Commutative Diagram 2” Yoelpiccolo31 / CC BY-SA 4.0 (cropped)
- Operators and Algebraic Systems on Hilbert Spaces: “Functional calculus illustration3” 作者不詳 / Public domain (cropped)
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