Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-19T17:27:09.557Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary conditions and reducibility of differential operators

Published online by Cambridge University Press:  24 October 2008

B. Fisherl  and
Z. Zahreddine
B. Fisherl
Affiliation:
Westfield College, University of London
Z. Zahreddine
Affiliation:
Westfield College, University of London
Get access Rights & Permissions [Opens in a new window]

Abstract

Examples were exhibited in [4] of both reducible and irreducible symmetric operators (of deficiency index (1:1)) associated with − d2/dt2 in the Hilbert space L2(I) (I = [0,1). Such symmetric operators are determined by three linearly independent boundary conditions which define their domains as restrictions of the domain of the maximal operator associated with — d2/dt2.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 3 , November 1984 , pp. 549 - 553
Copyright
Copyright © Cambridge Philosophical Society 1984

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

REFERENCES

[1]Coddington, E. A. and Levinson, N.. Theory of Ordinary Differential Equations (McGraw-Hill, 1955).Google Scholar
[2]Denkel, N.. Ph.D. Thesis, University of London, 1980.Google Scholar
[3]Dunford, N. and Schwartz, J. T.. Linear Operators, vol. n (Interscienee, 1963).Google Scholar
[4]FISHEL, B. and Denkel, N.. Reducibility of differential operators: some examples. Math. Proc. Cambridge Philos. Soc. 86 (1979), 29–33.CrossRefGoogle Scholar