Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The spectrum of a linear operator under perturbation by certain compact operators


Author: Kenneth K. Warner
Journal: Proc. Amer. Math. Soc. 22 (1969), 667-671
MSC: Primary 47.48
DOI: https://doi.org/10.1090/S0002-9939-1969-0246157-X
MathSciNet review: 0246157
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] F. E. Browder, On the spectral theory of elliptical differential operators, I, Math. Ann. 142 (1960/61), 22-130. MR 0209909 (35:804)
  • [2] S. R. Caradus, Operators with finite ascent and descent, Pacific J. Math. 18, no. 3, (1966), 437-449. MR 0198228 (33:6387)
  • [3] I. C. Gohberg, and M. G. Krein, The basic propositions on defect numbers, root numbers, and indices of linear operators, Amer. Math. Soc. Transl. (2) 13 (1960), 185-264. MR 0113146 (22:3984)
  • [4] Angus E. Taylor, Introduction to functional analysis, Wiley, New York, 1958. MR 0098966 (20:5411)
  • [5] -, Theorems on ascent, descent, nullity and defect of linear operators, Math. Ann. 163 (1966), 18-49. MR 0190759 (32:8169)
  • [6] Bertram Yood, Properties of linear transformations preserved under addition of a completely continuous transformation, Duke Math. J. 18 (1951), 599-612. MR 0044020 (13:355f)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47.48

Retrieve articles in all journals with MSC: 47.48


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1969-0246157-X
Article copyright: © Copyright 1969 American Mathematical Society

American Mathematical Society