Naslov
On isometries on some Banach spaces - something old, something new, something borrowed, something blue: Part I and Part II

Autori
Ilišević, Dijana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Recent Trends in Operator Theory and Applications

Mjesto i datum
Memphis (TN), Sjedinjene Američke Države, 03.05.2018. - 05.05.2018

Vrsta sudjelovanja
Plenarno

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
isometry ; Banach space ; Banach-Stone theorem

Sažetak
Isometries are maps between metric spaces which preserve distance between elements. Although the beginnings of the study of isometries between Banach spaces coincide to the very beginnings of the Banach space theory, this area of research is still very active. One of the main problems is to give explicit description of isometries on a particular space. However, different types of spaces require different methods of approaching this problem. In these two talks, isometries on various important Banach spaces (both finite and infinite dimensional, both real and complex) will be described. Basic introductory material will be combined with several recent results related to isometries, including those on generalized bicircular and n-circular projections, roots of isometries, preservers of isometries etc.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA