Skip to main content
SpringerLink
Log in

On compact solvability of the operator of exterior derivation

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. Baider, “Noncompact Riemannian manifolds with discrete spectra,” J. Differential Geom.,14, No. 1, 41–58 (1979).

    MATH  Google Scholar 

  2. V. M. Gol’dshteîn, V. I. Kuz’minov, and I. A. Shvedov, “Normal and compact solvability of linear operators,” Sibirsk. Mat. Zh.,30, No. 5, 49–59 (1989).

    Google Scholar 

  3. T. Kato, Perturbation Theory for Linear Operators [Russian translation], Mir, Moscow (1972).

    MATH  Google Scholar 

  4. W. Rudin, Functional Analysis [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  5. V. M. Gol’dshteîn, V. I. Kuz’minov, and I. A. Shvedov, “TheL p-cohomology of Riemannian manifolds,” in: Studies in Geometry and Mathematical Analysis [in Russian], Trudy Inst. Mat. Vol. 7 (Novosibirsk), Nauka, Novosibirsk, 1987, pp. 101–116.

    Google Scholar 

  6. V. M. Gol’dshteîn, V. I. Kuz’minov, and I. A. Shvedov, “Integral representation of the integral of a differential form,” in: Functional Analysis and Mathematical Physics [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1985, pp. 53–87.

    Google Scholar 

  7. V. M. Gol’dshteîn, V. I. Kuz’minov, and I. A. Shvedov, “Nonzero elements in theL p-cohomology of warped products,” Sibirsk. Mat. Zh.,33, No. 6, 14–30 (1992).

    Google Scholar 

  8. V. M. Gol’dshteîn, V. I. Kuz’minov, and I. A. Shvedov, “On the Künneth formula forL p-cohomology of warped products,” Sibirsk. Mat. Zh.,32, No. 5, 29–42 (1991).

    Google Scholar 

  9. V. I. Kuz’minov and I. A. Shvedov, “On normal solvability of the operator of exterior derivation on warped products,” Sibirsk. Mat. Zh.,37, No. 2, 324–337 (1996).

    Google Scholar 

  10. V. M. Gol’dshteîn, V. I. Kuz’minov, and I. A. Shvedov, “ReducedL p-cohomology of warped cylinders,” Sibirsk. Mat. Zh.,31, No. 5, 10–23 (1990).

    Google Scholar 

  11. V. I. Kuz’minov and I. A. Shvedov, “On normal solvability of the exterior differentiation on a warped cylinder,” Sibirsk. Mat. Zh.,34, No. 1, 85–95 (1993).

    Google Scholar 

  12. V. I. Kuz’minov and I. A. Shvedov, “On compactly-supported approximation of differential forms in weighted Sobolev-type spaces,” Sibirsk. Mat. Zh.,34, No. 6, 91–112 (1993).

    Google Scholar 

  13. V. G. Maz’ya, Sobolev Spaces [in Russian], Leningrad Univ., Leningrad (1985).

    Google Scholar 

Download references

Authors
  1. V. I. Kuz’minov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Shvedov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research was financially supported by the Russian Foundation for Basic Research (Grant 95-01-01335a) and the International Sciences Foundation (Grant NQ9000).

Novosibirsk. Translated fromSibirkiî Matematicheskiî Zhurnal, Vol. 38, No. 3, pp. 573–590, May–June, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuz’minov, V.I., Shvedov, I.V. On compact solvability of the operator of exterior derivation. Sib Math J 38, 492–506 (1997). https://doi.org/10.1007/BF02683837

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02683837

Keywords

Search

Navigation