Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Fatmah B. Jamjoom"'
Autor:
Fatmah B. Jamjoom
Publikováno v:
Bulletin of Mathematical Sciences, Vol 13, Iss 03 (2023)
Perfect C∗-algebras were introduced by Akeman and Shultz in [Perfect C*-algebras, Mem. Amer. Math. Soc. 55(326) (1985)] and they form a certain subclass of C*-algebras determined by their pure states, and for which the general Stone–Weierstrass c
Externí odkaz:
https://doaj.org/article/2e48797467974d2ea6722f586451ce5e
Autor:
Fatmah B. Jamjoom, Fadwa M. Algamdei
Publikováno v:
Axioms, Vol 13, Iss 3, p 205 (2024)
The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and t
Externí odkaz:
https://doaj.org/article/1f187476bf834115b870fc578ade19cc
Publikováno v:
Axioms, Vol 12, Iss 11, p 1045 (2023)
The notion of quasi-Jordan algebras was originally proposed by R. Velasquez and R. Fellipe. Later, M. R. Bremner provided a modification called K-B quasi-Jordan algebras; these include all Jordan algebras and all dialgebras, and hence all associative
Externí odkaz:
https://doaj.org/article/174cad8c48744e38b207d88908421887
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm 1 unit can be given an equivalent norm making the algebra isometrically isomorphic to a closed right ideal of a unital split quas
Externí odkaz:
https://doaj.org/article/dec9513f15a1479a93df75345f1e17e1
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We explore a JB*-triple analogue of the notion of quasi invertible elements, originally studied by Brown and Pedersen in the setting of C*-algebras. This class of BP-quasi invertible elements properly includes all invertible elements and all extreme
Externí odkaz:
https://doaj.org/article/811fc7d533d743cca4a721c7b785a8e5
Autor:
Fatmah B. Jamjoom
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 4, Pp 717-723 (1993)
This article is a continuation of [1], to which the reader is referred for the definition and properties of the JC-tensor product of two JC-algebras. Our standard references for nuclear and postliminal C*-algebras are [2,3,4,5,6,7]. We extend the not
Externí odkaz:
https://doaj.org/article/5b4c79db80ea4495bd191f6a2419c2da
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 52:112-124
We initiate a study of involutions in the setting of complex quasi Jordan algebras and discuss the notions of self-adjoint and unitary elements; besides other results, we also obtain a Russo-Dye type theorem for unital involutive split quasi Jordan B
Autor:
Fatmah B. Jamjoom, A. H. Al Otaibi
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2020 (2020)
The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C ∗ -algebras) can be described as significant and influential. Examples of numerous relationships have been established. In this ar
Publikováno v:
Digibug. Repositorio Institucional de la Universidad de Granada
instname
Digibug: Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)
instname
Digibug: Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)
A.M. Peralta was partially supported by the Spanish Ministry of Science, Innovation and Universities (MICINN) and European Regional Development Fund Project No. PGC2018-093332-B-I00, Junta de Andalucia Grant FQM375 and Proyecto de I + D + i del Progr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b7c8d870e4a7f11e8ae76798a612273
http://arxiv.org/abs/1911.04134
http://arxiv.org/abs/1911.04134
Publikováno v:
Ann. Funct. Anal. 7, no. 4 (2016), 578-592
We introduce and study the class of extremally rich JB $^{*}$ -triples. We establish new results to determine the distance from an element $a$ in an extremally rich JB $^{*}$ -triple $E$ to the set $\partial_{e}(E_{1})$ of all extreme points of the c