This article is cited in 1 paper

On weak convergence in an infinite tensor product of Hilbert spaces

I. M. Burban


Abstract: Investigation has been made of weakly convergent operator seria in the non-complete infinite tensor product of Hilbert spaces. It is proved that in the case when the dense domain exists, on which the sequences of partial sums of positive operators converge weakly, the limit operator is essentially self-adjoint.

Received: 25.01.1971

 English version: Theoretical and Mathematical Physics, 1971, 9:3, 1165–1168

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