Scalar characterization in Banach Jordan algebras

Abdelaziz Maouche

doi:https://doi.org/10.32323/ujma.399537

Article Details

Scalar characterization in Banach Jordan algebras

Authors:

Abdelaziz Maouche

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.121-124

Document Type:

Article

Publication Date:

6/2018

Document Language:

English

Document ID (Org No.):

2000670223

Frequency:

Quarterly

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.399537

Abstract:

 


Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras. We also establish that any element of a semisimple Banach-Jordan algebra with the property that all elements in some neighbourhood of the identity are spectrally invariant under multiplication by the quadratic U operator, has analogs with the identity.

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Article Details

Scalar characterization in Banach Jordan algebras

Authors: Abdelaziz Maouche

Publisher: Emrah Evren KARA

Main Topics: Mathematics

Journal: Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.121-124

Document Type: Article

Publication Date: 6/2018

Document Language: English

Document ID (Org No.): 2000670223

Frequency: Quarterly

pISSN: 2619-9653

DOI: https://doi.org/10.32323/ujma.399537

Issues

Authors:

Abdelaziz Maouche

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.121-124

Document Type:

Article

Publication Date:

6/2018

Document Language:

English

Document ID (Org No.):

2000670223

Frequency:

Quarterly

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.399537