Nonlinear Classification of Banach spaces based on Birkhoff-James orthogonality

Dear friends and colleagues,

on Monday, 6 June 2022 at
• 02:00 PM for Beijing, Hong Kong and Perth
• 03:00 PM for Seoul and Tokyo
• 04:00 PM for Canberra, Melbourne and Sydney
• 06:00 PM for Auckland

Associate Professor Ryotaro Tanaka is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

Abstract:

Birkhoff-James orthogonality is a generalized orthogonality relation in Banach spaces which is strongly related to the geometric structure of Banach spaces. In this talk, I will present a recent work on the nonlinear classification of Banach spaces based on Birkhoff-James orthogonality. I will show that reflexive smooth Banach spaces are identified isomorphically by their Birkhoff-James orthogonality structure, that three or more dimensional Hilbert spaces are determined isometrically in terms of Birkhoff-James orthogonality, and that classical sequence spaces are classified under the equivalence based on Birkhoff-James orthogonality preservers.

Chair: Yoshihiro Sawano (Chuo University, Japan)

More information and how to attend this talk can be found at the seminar webpage.

Miranda
On behalf of Daniel H. and Ben
 

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Webinar Speaker

Ryotaro Tanaka

Associate Professor @ Tokyo University of Science, Japan

Ryotaro Tanaka obtained his PhD from Niigata University in 2015 under the supervision of Professor Kichi-Suke Saito. After spending one year at Niigata University as a research fellow, and two years at Kyushu University as a JSPS postdoctoral fellow, he became a Junior Associate Professor at Tokyo University of Science, where he got promoted to Associate Professor in 2022.