On the equivalence of multiplicity and the generalized topological degree
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- by T. O’Neil and J. W. Thomas PDF
- Trans. Amer. Math. Soc. 167 (1972), 333-345 Request permission
Abstract:
In this paper we first extend the definition of the multiplicity (as defined by J. Cronin-Scanlon) of operators of the form $I + C + T$ to operators of the form $H + C + T$. We then show that the generalized topological degree (as defined by F. E. Browder and W. V. Petryshyn) of operators of the form $H + C + T$ is also defined. Finally, we show that when both the multiplicity and generalized topological degree of $H + C + T$ are defined, they are equal.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 167 (1972), 333-345
- MSC: Primary 47H10; Secondary 58E05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0298503-3
- MathSciNet review: 0298503