Vasilescu-Martinelli formula for operators in Banach spaces

V. Kordula; V. Müller

Studia Mathematica (1995)

  • Volume: 113, Issue: 2, page 127-139
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Kordula, V., and Müller, V.. "Vasilescu-Martinelli formula for operators in Banach spaces." Studia Mathematica 113.2 (1995): 127-139. <http://eudml.org/doc/216165>.

@article{Kordula1995,
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.},
author = {Kordula, V., Müller, V.},
journal = {Studia Mathematica},
keywords = {functions analytic in a neighn a neighbourhood of the splitting spectrum; space operators; Taylor functional calculus; -tuple of commuting Banach space operators},
language = {eng},
number = {2},
pages = {127-139},
title = {Vasilescu-Martinelli formula for operators in Banach spaces},
url = {http://eudml.org/doc/216165},
volume = {113},
year = {1995},
}

TY - JOUR
AU - Kordula, V.
AU - Müller, V.
TI - Vasilescu-Martinelli formula for operators in Banach spaces
JO - Studia Mathematica
PY - 1995
VL - 113
IS - 2
SP - 127
EP - 139
AB - 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.
LA - eng
KW - functions analytic in a neighn a neighbourhood of the splitting spectrum; space operators; Taylor functional calculus; -tuple of commuting Banach space operators
UR - http://eudml.org/doc/216165
ER -

References

top
  1. [1] D. W. Albrecht, Integral formulae for special cases of Taylor's functional calculus, Studia Math. 105 (1993), 51-68. Zbl0810.47013
  2. [2] K. Laursen and M. Mbekhta, Closed range multipliers and generalized inverses, ibid. 107 (1993), 127-135. Zbl0812.47031
  3. [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. [4] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. Zbl0233.47024
  5. [5] J. L. Taylor, Analytic-functional calculus for several commuting operators, Acta Math. 125 (1970), 1-38. Zbl0233.47025
  6. [6] F.-H. Vasilescu, A Martinelli type formula for the analytic functional calculus, Rev. Roumaine Math. Pures Appl. 23 (1978), 1587-1605. Zbl0402.47011
  7. [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. [8] F.-H. Vasilescu, Calcul Funcţional Analitic Multidimensional, Editura Academiei, Bucureşti, 1979. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.