Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Spectral synthesis and the Fuglede-Putnam-Rosenblum theorem

  • 36 Accesses

  • 1 Citations

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

Literature cited

  1. 1.

    M. Rosenblum, “On a theorem of Fuglede and Putnam,” J. London Math. Soc.,33, 376–377 (1958).

  2. 2.

    E. A. Gorin, “On subspaces of a Banach algebra, singled out analytically,” in: XI All-Union School on the Theory of Operators in Function Spaces. Part II [in Russian], Chelyabinsk. Politekhn. Inst., Chelyabinsk (1986), p. 36.

  3. 3.

    K. N. Boyadzhiev, “Commuting C0-groups and the Fuglede-Putnam theorem,” Studia Math.,81, No. 3, 303–306 (1985).

  4. 5.

    V. S. Shul'man, “Linear equations with normal coefficients,” Dokl. Akad. Nauk SSSR,270, No. 5, 1070–1073, (1983).

  5. 6.

    F. Kittaneh, “On the commutants modulo Cp of A2 and A3,” J. Austral. Math. Soc.,A41, No. 1, 47–50 (1986).

  6. 7.

    Hong Ke Du, “On normal operators, their adjoints, and the Putnam—Fuglede theorem,” Adv. in Math. (Beijing),16, No. 1, 67–71 (1987).

  7. 8.

    W. Arveson, “On groups of automorphisms of operator algebras,” J. Funct. Anal.,15, No. 3, 217–243 (1974).

Download references

Additional information

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 54, pp. 25–36, 1990.

The author expresses his deep gratitude to E. A. Gorin and A. S. Fainshtein for the useful discussions of the questions considered in the paper.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Shul'man, V.S. Spectral synthesis and the Fuglede-Putnam-Rosenblum theorem. J Math Sci 58, 312–318 (1992).

Download citation


  • Spectral Synthesis