I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 4, PAGES 1187-1201
A. V. Strelets
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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