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ArticleOriginal scientific text

Title

Vasilescu-Martinelli formula for operators in Banach spaces

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Abstract

We prove a formula for the Taylor functional calculus for functions analytic in a neighbourhood of the splitting spectrum of an n-tuple of commuting Banach space operators. This generalizes the formula of Vasilescu for Hilbert space operators and is closely related to a recent result of D. W. Albrecht.

Bibliography

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  2. K. Laursen and M. Mbekhta, Closed range multipliers and generalized inverses, ibid. 107 (1993), 127-135.
  3. R. Levi, Notes on the Taylor joint spectrum of commuting operators, in: Spectral Theory, Banach Center Publ. 8, PWN-Polish Scientific Publishers, Warszawa, 1982, 321-332.
  4. J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191.
  5. J. L. Taylor, Analytic-functional calculus for several commuting operators, Acta Math. 125 (1970), 1-38.
  6. F.-H. Vasilescu, A Martinelli type formula for the analytic functional calculus, Rev. Roumaine Math. Pures Appl. 23 (1978), 1587-1605.
  7. F.-H. Vasilescu, A multidimensional spectral theory in C*-algebras, in: Spectral Theory, Banach Center Publ. 8, PWN-Polish Scientific Publishers, Warszawa, 1982, 471-491.
  8. F.-H. Vasilescu, Calcul Funcţional Analitic Multidimensional, Editura Academiei, Bucureşti, 1979.
Studia Mathematica
1995/113/2
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Pages:
127-139
Main language of publication
English
Received
1994-02-25
Accepted
1994-06-28
Published
1995
Exact and natural sciences