Vasilescu-Martinelli formula for operators in Banach spaces
Kordula, V. ; Müller, V.
Studia Mathematica, Tome 113 (1995), p. 127-139 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216165 
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     title = {Vasilescu-Martinelli formula for operators in Banach spaces},
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     year = {1995},
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Kordula, V.; Müller, V. Vasilescu-Martinelli formula for operators in Banach spaces. Studia Mathematica, Tome 113 (1995) pp. 127-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv113i2p127bwm/

[00000] [1] D. W. Albrecht, Integral formulae for special cases of Taylor's functional calculus, Studia Math. 105 (1993), 51-68. | Zbl 0810.47013

[00001] [2] K. Laursen and M. Mbekhta, Closed range multipliers and generalized inverses, ibid. 107 (1993), 127-135. | Zbl 0812.47031

[00002] [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.

[00003] [4] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. | Zbl 0233.47024

[00004] [5] J. L. Taylor, Analytic-functional calculus for several commuting operators, Acta Math. 125 (1970), 1-38. | Zbl 0233.47025

[00005] [6] F.-H. Vasilescu, A Martinelli type formula for the analytic functional calculus, Rev. Roumaine Math. Pures Appl. 23 (1978), 1587-1605. | Zbl 0402.47011

[00006] [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.

[00007] [8] F.-H. Vasilescu, Calcul Funcţional Analitic Multidimensional, Editura Academiei, Bucureşti, 1979.