SMS scnews item created by Miranda Luo at Tue 31 May 2022 1249
Type: Seminar
Distribution: World
Expiry: 6 Jun 2022
Calendar1: 6 Jun 2022 1600-1700
CalLoc1: Zoom webinar
Auth: (jluo0722) in SMS-SAML

Asia-Pacific Analysis and PDE Seminar

Nonlinear Classification of Banach spaces based on Birkhoff-James orthogonality

Ryotaro Tanaka

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

Nonlinear Classification of Banach spaces based on Birkhoff-James orthogonality


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.

On behalf of Daniel H. and Ben


Webinar Speaker

Ryotaro Tanaka

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.