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Applied Analysis Lab (Ando)
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The lab explores the world of operators, where the order of multiplication cannot be swapped.
AboutAbout the lab
Toward mathematics where the order of multiplication cannot be swapped
Prof. Ando studies mathematics, with a focus on the theory of operator algebras.
The theory of operator algebras deals with noncommutative objects, in which the order of multiplication cannot be swapped.
The keywords of the research are von Neumann algebras and unitary representations, and recent papers also deal with unitary groups of C*-algebras.
Key terms
- operator algebra
- An algebra formed by collecting operations (operators) that act on a space. The order of multiplication generally cannot be swapped.
- von Neumann algebra
- An operator algebra that is closed under limits in a weak sense. It arose from the mathematics of quantum mechanics.
- noncommutativity
- The property that swapping the order of multiplication changes the result. Matrix multiplication is an example.
ResearchResearch themes
The professor specializes in the theory of operator algebras.
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MembersFaculty
- Associate ProfessorHiroshi Ando
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Report an errorAbout the images
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: “E8 - Flickr - jared” Jared Tarbell from Awesometown, United States of America / CC BY 2.0 (cropped)
- Theory of Operator Algebras: “Mathematics, Lecture notes, Mathematical analysis, Linear algebra, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped)
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