Geodesic
On weak convergence in an infinite tensor product of Hilbert spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 318-322 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_1971_9_3_a1,
     author = {I. M. Burban},
     title = {On weak convergence in an infinite tensor product of {Hilbert} spaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {318--322},
     year = {1971},
     volume = {9},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a1/}
}
TY  - JOUR
AU  - I. M. Burban
TI  - On weak convergence in an infinite tensor product of Hilbert spaces
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 318
EP  - 322
VL  - 9
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a1/
LA  - ru
ID  - TMF_1971_9_3_a1
ER  - 
%0 Journal Article
%A I. M. Burban
%T On weak convergence in an infinite tensor product of Hilbert spaces
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 318-322
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a1/
%G ru
%F TMF_1971_9_3_a1
I. M. Burban. On weak convergence in an infinite tensor product of Hilbert spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 318-322. http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a1/

[1] J. von Neumann, Comp. Math., 6 (1939), 1 | MR

[2] J. Klauder, J. Mc Kenna, J. Math. Phys., 6 (1965), 66 | MR

[3] J. Klauder, J. Mc Kenna, E. Woods, J. Math. Phys., 7 (1967), 422 | MR

[4] L. Streit, Commun. Math. Phys., 4 (1967), 22 | DOI | MR | Zbl

[5] O. I. Zavyalov, V. N. Sushko, Preprint ITF-68-29, 1968 | MR

[6] M. C. Reed, J. Functional Analysis, 5 (1970), 94 | DOI | MR | Zbl

[7] F. Riss, B. S. Nad, Lektsii po funktsionalnomu analizu, IL, 1954 | MR