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Tanaka (Ryo) Lab
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A functional analysis lab that classifies Banach spaces from a geometric point of view.
AboutAbout the lab
Analyzing Banach spaces from a geometric perspective
The Tanaka (Ryo) Lab studies Banach spaces, the main objects of functional analysis, from a geometric perspective, such as the shape of the unit ball.
Functional analysis is a foundational field with broad applications. Built on linear algebra and topology, it provides basic tools to every area of modern analysis.
The lab applies ideas from the geometry of Banach spaces to uniform algebras, operator algebras, and related structures, and explores how far Banach spaces can be classified at the nonlinear level.
On the university's lab introduction pages, the lab is listed under the name "Tanaka Lab."
Key terms
- Banach space
- A space that is the main object of study in functional analysis. The lab investigates its geometric properties, such as the shape of the unit ball
- Preserver problem
- A problem that asks whether maps preserving a particular structure can be determined
ResearchResearch themes
Functional analysis is a foundational field that, built on linear algebra and topology, provides basic tools to every area of modern analysis. The Tanaka (Ryo) Lab analyzes Banach spaces, its main objects, from a geometric perspective, and studies their classification and preserver problems at the nonlinear level.
View More ↗MembersFaculty
- Associate ProfessorRyotaro Tanaka
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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).
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