The single-valued extension property for sums and products of commuting operators

T. L. Miller; Michael M. Neumann

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 635-642
  • ISSN: 0011-4642

Abstract

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It is shown that the sum and the product of two commuting Banach space operators with Dunford’s property ( C ) have the single-valued extension property.

How to cite

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Miller, T. L., and Neumann, Michael M.. "The single-valued extension property for sums and products of commuting operators." Czechoslovak Mathematical Journal 52.3 (2002): 635-642. <http://eudml.org/doc/30730>.

@article{Miller2002,
abstract = {It is shown that the sum and the product of two commuting Banach space operators with Dunford’s property $\mathrm \{(\}C)$ have the single-valued extension property.},
author = {Miller, T. L., Neumann, Michael M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {single-valued extension property; Dunford’s property $\mathrm \{(\}C)$; decomposable operators; single-valued extension property; Dunford’s property ; decomposable operators},
language = {eng},
number = {3},
pages = {635-642},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The single-valued extension property for sums and products of commuting operators},
url = {http://eudml.org/doc/30730},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Miller, T. L.
AU - Neumann, Michael M.
TI - The single-valued extension property for sums and products of commuting operators
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 635
EP - 642
AB - It is shown that the sum and the product of two commuting Banach space operators with Dunford’s property $\mathrm {(}C)$ have the single-valued extension property.
LA - eng
KW - single-valued extension property; Dunford’s property $\mathrm {(}C)$; decomposable operators; single-valued extension property; Dunford’s property ; decomposable operators
UR - http://eudml.org/doc/30730
ER -

References

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  12. On local spectral properties of operators on Banach spaces, Rend. Circ. Mat. Palermo (2), Suppl. 56 (1998), 15–25. (1998) Zbl0929.47001MR1710819
  13. The sum and product of decomposable operators, Northeast. Math.  J. 5 (1989), 105–117. (Chinese) (1989) Zbl0699.47022MR1010749
  14. Analytic Functional Calculus and Spectral Decompositions, Editura Academiei and D.  Reidel Publ. Company, Bucharest and Dordrecht, 1982. (1982) Zbl0495.47013MR0690957
  15. On local spectral properties of operators in Banach spaces, Czechoslovak Math. J. 23(98) (1973), 483–492. (1973) MR0322536

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