Spectrum Estimate of Bounded Operator on Banach Space

FU Xin-yi<sup>1</sup>, WANG Wei<sup>2</sup>

doi:10.13718/j.cnki.xsxb.2018.12.010

Journal of Southwest China Normal University(Natural Science Edition)

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2018 Volume 43 Issue 12

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FU Xin-yi1, WANG Wei2. Spectrum Estimate of Bounded Operator on Banach Space[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(12): 48-50. doi: 10.13718/j.cnki.xsxb.2018.12.010

Citation:

FU Xin-yi¹, WANG Wei². Spectrum Estimate of Bounded Operator on Banach Space[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(12): 48-50. doi: 10.13718/j.cnki.xsxb.2018.12.010

Spectrum Estimate of Bounded Operator on Banach Space

FU Xin-yi¹, WANG Wei²

1. Department of Mathematics and Economics, Southwestern University of Finance and Economics, Chengdu 611130, China;
2. Department of Mathematics, Sichuan University, Chengdu 610065, China

More Information

Received Date: 10/04/2018

Abstract

We've firstly proved a variant of Lax-Milgram Theorem on bilinear functional on Banach space, then with this result, we've studied the spectrum estimate of bounded linear operator on Banach space, and we've generalized a classical spectrum theorem on the self-adjoint operator defined on Hilbert space to Banach space.
- Lax-Milgram Theorem,
- bounded linear operator,
- spectrum

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