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.
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Transplated fromMatematicheskie Zametki, Vol. 62, No. 2, pp. 223–237, August, 1997.
Translated by V. E. Nazaikinskii
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Ismagilov, R.S. Ultrametric spaces and related Hilbert spaces. Math Notes 62, 186–197 (1997). https://doi.org/10.1007/BF02355907
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DOI: https://doi.org/10.1007/BF02355907