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Saito Lab
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An operator theory lab that studies operators on spaces of functions.
AboutAbout the lab
Seeing function spaces through operators.
Saito Lab studies operator theory, a branch of functional analysis.
Rather than examining individual functions, functional analysis studies actions on the space formed by collections of functions (function spaces).
Differentiation and integration can also be understood as operators on function spaces.
The lab takes normal operators, the easiest to handle among the various kinds of operators, as its foundation, and goes on to study more general operators.
Key terms
- Function space
- A collection of functions treated as a single space. This lab studies actions on such spaces.
- Operator
- An operation that acts on functions in a function space. Differentiation and integration can also be understood as operators.
- Normal operator
- The easiest to handle among the various kinds of operators. This lab uses it as the foundation of its research.
ResearchResearch themes
From the standpoint of functional analysis, the lab studies operators on function spaces. Its research topic is operators on Hilbert spaces.
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MembersFaculty
- Associate ProfessorIsao Saito
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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: “Hilbert cube” Claudio Rocchini / CC BY-SA 4.0 (cropped)
- Operators on Hilbert spaces: “Hilbert Curve Rounded Like Peano Smooth” Renault33 / CC0 (cropped)
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