On Lie Groups and P- two Norm Algebras

Lee

doi:https://doi.org/10.54216/PMTCS.010204

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Volume 1 • Issue 2 • PP: 32-35 • 2023

On Lie Groups and P- two Norm Algebras

Lee Xu ^1*

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¹University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China

* Corresponding Author.

DOI https://doi.org/10.54216/PMTCS.010204

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Received: October 19, 2022 Revised: December 22, 2022 Accepted: February 18, 2023

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Abstract

The objective of this paper is studying Lie group G(X) on algebra X and define two norms in this algebra and give some properties of two-norm algebras which are topological, and relate some concepts with the topological notions introduced by A. Alexiwicz.

Keywords

Lie group Lie algebra Normed algebra

References

[1] ALEXIEWICZ, A. The Wiweger topology in two norm algebras, Studia Math.1 1963. 116-142.

[2] MALNICK, K. Lie groups and Lie algebras, Warm-Up program 2002,150.

[3] BALSAM, Z. On join - approximate point spectrum of two- norm space operators, Functiones et approximation, XVIII. UAM. pozman, 1989, 105-122.

[4] SZMUKSTA-ZAWADZKA, M. Algebra with topology, Functiones et approximation, XVVII. UAM. pozman, 1998, 25-33.

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Xu, Lee. "On Lie Groups and P- two Norm Algebras." Pure Mathematics for Theoretical Computer Science, vol. Volume 1, no. Issue 2, 2023, pp. 32-35. DOI: https://doi.org/10.54216/PMTCS.010204

Xu, L. (2023). On Lie Groups and P- two Norm Algebras. Pure Mathematics for Theoretical Computer Science, Volume 1(Issue 2), 32-35. DOI: https://doi.org/10.54216/PMTCS.010204

Xu, Lee. "On Lie Groups and P- two Norm Algebras." Pure Mathematics for Theoretical Computer Science Volume 1, no. Issue 2 (2023): 32-35. DOI: https://doi.org/10.54216/PMTCS.010204

Xu, L. (2023) 'On Lie Groups and P- two Norm Algebras', Pure Mathematics for Theoretical Computer Science, Volume 1(Issue 2), pp. 32-35. DOI: https://doi.org/10.54216/PMTCS.010204

Xu L. On Lie Groups and P- two Norm Algebras. Pure Mathematics for Theoretical Computer Science. 2023;Volume 1(Issue 2):32-35. DOI: https://doi.org/10.54216/PMTCS.010204

L. Xu, "On Lie Groups and P- two Norm Algebras," Pure Mathematics for Theoretical Computer Science, vol. Volume 1, no. Issue 2, pp. 32-35, 2023. DOI: https://doi.org/10.54216/PMTCS.010204

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