FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 4, PAGES 1187-1201
A. V. Strelets
Abstract
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In the paper it is proved that the column operator structure
is the unique one (up to completely
isomorphism) such that a given Hilbert space $\mathrm H$
becomes the left operator module
over $\mathcal B(\mathrm H)$ . Moreover, the corresponding module is contractive
if and only if this Hilbertian is completely isometric to the
column one.
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Last modified: April 17, 2002