References
M. Reed and B. Simon, Methods of Modern Mathematical Physics. Vol. 1: Functional Analysis. [Russian translation], Mir, Moscow (1977).
M. Gromov, “Asymptotic invariants of infinite groups,” in: Geometric Group Theory. eds.: G. Niblo and M. Roller, Cambridge Univ. Press, Cambridge, 1993.
V. I. Kuz'minov and I. A. Shvedov, “On the Künneth formula for reducedL 2-cohomologies,” Sibirsk. Mat. Zh.,36, No. 1, 102–110 (1995).
V. I. Kuz'minov and I. A. Shvedov, “On orthogonal direct sum decomposition of de Rham complexes for warped products of Riemannian manifolds,” Sibirsk. Mat. Zh.,39 No. 2, 354–368 (1998).
T. Kato, Perturbation Theory for Linear Operators [Russian translation], Mir, Moscow (1972).
Additional information
The research was supported by the State Maintenance Program for Leading Scientific Schools of the Russian Federation (Grant 96-15-96291), INTAS (Grant 96-0712), and the “Soros Student” Program of ISSEP (Grant s97-1984).
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 5, pp. 1067–1073, September–October, 1999.
Rights and permissions
About this article
Cite this article
Kopylov, Y.A. On the künneth formula for the reduced cohomology of the tensor product of complexes of hilbert spaces. Sib Math J 40, 901–906 (1999). https://doi.org/10.1007/BF02674719
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02674719