Email this article On the invariance of index of semielliptical operator on the scale of anisotropic spaces
- Authors: Tumanyan A.G.1
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Affiliations:
- Russian-Armenian (Slavonic) University
- Issue: Vol 51, No 4 (2016)
- Pages: 187-198
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/227935
- DOI: https://doi.org/10.3103/S106836231604004X
- ID: 227935
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Abstract
The paper is devoted to the questions of invariance of the index of a semielliptical operator on the scale of anisotropic spaces. A necessary and sufficient condition for the invariance of the index of a linear bounded operator on the embedded Hilbert spaces is obtained. This condition is applied to study the invariance of the index of a semielliptical operator. For a semielliptical operator a sufficient condition for the invariance of the index on the scale of anisotropic spaces is obtained.
About the authors
A. G. Tumanyan
Russian-Armenian (Slavonic) University
Author for correspondence.
Email: ani.tumanyan92@gmail.com
Armenia, Yerevan
