Ultrametric spaces and related Hilbert spaces |
| |
Authors: | R S Ismagilov |
| |
Institution: | (1) N. é. Bauman Moscow State Technical University, Moscow, USSR |
| |
Abstract: | We present simple proofs of the possibility of embedding ultrametric spaces in Hilbert spaces. The main part of the paper
deals with ultrametric spaces that we call totally infinite spaces. Related Hilbert spaces, automorphisms of totally infinite
spaces, and the corresponding linear operators are considered.
Transplated fromMatematicheskie Zametki, Vol. 62, No. 2, pp. 223–237, August, 1997.
Translated by V. E. Nazaikinskii |
| |
Keywords: | ultrametric space Hilbert space isometric embedding |
本文献已被 SpringerLink 等数据库收录! |
|