Transporting positive definiteness

作     者：Szafraniec, Franciszek Hugon 

作者机构：Uniwersytet Jagiellonski Inst Matemati Ul Lojasiewicza 6 PL-30348 Krakow Poland 

出 版 物：《ACTA SCIENTIARUM MATHEMATICARUM》 (Acta Sci. Math.)

年 卷 期：2022年第88卷第1-2期

页      面：505-514页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：positive definite kernels reproducing kernel Hilbert spaces B. Sz.-Nagy dilation theorem Pedrick's tilde correspondence composition in reproducing kernel Hilbert spaces Hamburger moment problem 

摘      要：This is a rough guide to the topic which might be worthy to develop further on. Expanding positive definiteness beyond its presupposed scope is intriguing due to a number of possible applications. The paper though looking at the first glance a little bit sketchy may provide a basis for further research.