Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T01:23:47.885Z Has data issue: false hasContentIssue false
  • English
  • Français

On properties related to A-compactness, an example

Published online by Cambridge University Press:  14 November 2011

Jürgen Voigt
Jürgen Voigt
Affiliation:
Mathematisches Institut der Universität München, Germany
Get access Rights & Permissions [Opens in a new window]

Synopsis

We present an example (section 3) which serves two purposes: it is a counterexample to a conjecture of Weidmann (see section 1) and it clarifies the relations between different properties related to A-compactness (see section 2).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 81 , Issue 3-4 , 1978 , pp. 259 - 265
Copyright
Copyright © Royal Society of Edinburgh 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Halmos, P. R.Continuous functions of Hermitian operators. Proc. Amer. Math. Soc. 31 (1972), 130–132.CrossRefGoogle Scholar
2Tafel, W.Kriterien für die (relative) Kompaktheit der Differenz zweier selbstadjungierter (Munchen Univ. Diplomarbeit, 1974).Google Scholar
3Tafel, W., Voigt, J. and Weidmann, J.The singular sequence problem. Acta Sci. Math. (Szeged), to appear.Google Scholar
4Weidmann, J.Spectral theory of partial differential operators. Lecture Notes in Mathematics 448, 71–111 (Berlin: Springer, 1975).Google Scholar
5Weidmann, J.Lineare Operatoren in Hilberträumen (Stuttgart: Teubner, 1976).Google Scholar