Abstract
A variant of the Künneth formula for tensor products of Fredholm complexes of Hilbert spaces is given.
Similar content being viewed by others
References
Ceausescu, Z. and Vasilescu, F.-H.: Tensor products and the joint spectrum in Hilbert spaces, Proc.Amer.Math.Soc. 72 (1978), 505–508.
Curto, R.E.: Fredholm and invertible tuples of boundes linear operators, Dissertation, State Univ. of New York at Stony Brook, 1978.
Dunford, N. and Schwartz, J.: Linear operators, II, Interscience Publ., 1963; III, Wiley-Interscience, 1971.
Folland, G.B. and Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex, Princeton Univ.Press and Univ. of Tokyo Press, Princeton, New Jersey, 1972.
Kato, T.: Perturbation theory for linear operators, Second edition, Springer-Verlag, Berlin-Heidelberg-New York, 1976.
MacLane, S.: Homology, Springer-Verlag, New York, 1970.
Putnam, C.R.: Commutation properties of Hilbert space operators and related topics, Springer-Verlag, Berlin, 1967.
Strătilă, Ş. and Zsidó, L.: Lectures on von Neumann algebras, Editura Academiei and Abacus Press, 1979.
Taylor, J.L.: A joint spectrum for several commuting operators, J. Functional Analysis 6 (1970), 172–191.
Vasilescu, F.-H.: Analytic perturbations of the\(\bar \partial\)-operator and integral representation formulas in Hilbert spaces, J.Operator Theory, 1 (1979), 187–205.
Vasilescu, F.-H.: Stability of the index of a complex of Banach spaces, J.Operator Theory, 2 (1979), 247–275.
Vasilescu, F.-H.: The stability of the Euler characteristic for Hilbert complexes,Math. Ann. 248 (1980), 109–116.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grosu, C., Vasilescu, FH. The Künneth formula for Hilbert complexes. Integr equ oper theory 5, 1–17 (1982). https://doi.org/10.1007/BF01694027
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01694027