19
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Joint spectra and commutativity of systems of (2 × 2) selfadjoint matrices

&
Pages 47-58 | Received 22 May 1992, Published online: 30 May 2007

References

  • Anderson , R. F. V. 1969 . The weyl functional calculus . J. Funct. Anal , 4 : 240 – 267 .
  • Dash , A. T. 1973 . Joint spectra . studia Math , 45 : 225 – 237 .
  • Jefferies , B. R. F. and Ricker , W. J. 1993 . Commutativity for systems of (2 × 2) selfadjoint matrices . Linear and Multiliear Algebra , 35 ( 2 ) to appear in
  • McInthosh , A. and Pryde , A. J. 1985 . The solution of systems of operator equations using clifford algebras . Proc. Centre Math. Anal. Canberra , 9 ( 2 ) : 212 – 222 .
  • McInthosh , A. and Pryde , A. J. 1987 . A functional calculus for several commuting operators . Indiana Univ. Math. J , 36 ( 2 ) : 421 – 439 .
  • McInthosh , A. , Pryde , A. J. and Ricker , W. J. 1988 . Comparison of joint spectra for certain classes of commuting operators . Studia Math , 88 ( 2 ) : 23 – 36 .
  • McInthosh , A. , Pryde , A. J. and Ricker , W. J. 1988 . Estimates for solutions of the operator equation . Oper. Theory: Adv. Appl , 28 ( 2 ) : 43 – 65 .
  • McInthosh , A. , Pryde , A. J. and Ricker , W. J. 1988 . Systems of operator equations and perturbation of spectral subspaces of commuting operators . Michigan Math. J , 35 ( 2 ) : 43 – 65 .
  • Pryde , A. J. 1988 . A non-commutative joint spectral theory . Proc. Centre Math. Anal. Canberra , 20 ( 2 ) : 153 – 161 .
  • Pryde , A. J. 1991 . Inequalities for exponentials in banach algebras . Studia Math , 100 ( 2 ) : 87 – 94 .
  • Ricker , W. J. 1988 . "Spectral subsets" of R m associated with commuting families of linear operators . North Holland Math. Stud. , 150 ( 2 ) : 243 – 247 .
  • Ricker , W. J. and Schep , A. R. 1989 . The non-emptiness of joint spectral subsets of euclidean n-speace . J. Austral. Math. Soc , 47 ( 2 ) : 300 – 306 . Ser. A
  • Taylor , J. L. 1970 . A joint spectrum for several commuting operators . J. Funct. Anal , 6 ( 2 ) : 172 – 191 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.