• Title, Summary, Keyword: Jordan

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JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS

  • Park, Kyoo-Hong;Jung, Yong-Soo
    • Communications of the Korean Mathematical Society
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    • v.17 no.2
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    • pp.245-252
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    • 2002
  • In this paper we obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following : Let d be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra A. If d$^2$(x) = 0 for all x $\in$ A, then we have d(A) ⊆ red(A)

JORDAN AUTOMORPHIC GENERATORS OF EUCLIDEAN JORDAN ALGEBRAS

  • Kim, Jung-Hwa;Lim, Yong-Do
    • Journal of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.507-528
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    • 2006
  • In this paper we show that the Koecher's Jordan automorphic generators of one variable on an irreducible symmetric cone are enough to determine the elements of scalar multiple of the Jordan identity on the attached simple Euclidean Jordan algebra. Its various geometric, Jordan and Lie theoretic interpretations associated to the Cartan-Hadamard metric and Cartan decomposition of the linear automorphisms group of a symmetric cone are given with validity on infinite-dimensional spin factors

Cancer Incidence in Jordan from 1996 to 2009 - A Comprehensive Study

  • Ismail, Said Ibrahim;Soubani, Majd;Nimri, Jena Monther;Al-Zeer, Ali Hazem
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.6
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    • pp.3527-3534
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    • 2013
  • Background: Cancer is a major health problem facing the entire world, and Jordan is no exception. However, patterns of cancer incidence and cancer burden in Jordan have never been explored thoroughly, and the aim of this study was to close this knowldege gap. Materials and Methods: The study was based on data obtained from the Jordan cancer registry from 1996 to 2009. All cancer cases that were diagnosed during the study period were registered and included in this study. Results: A total of 51,626 cases were registered in Jordan during the 14- year period. The incidence rate showed no significant increase in males (percent change PC 6.8%), while in females a marked increase was observed (PC 14.8%). The major cancer sites for males were bronchus and lung, colorectal, bladder, leukemia and prostate. In females, the leading cancer sites were breast, colorectal, leukemia, thyroid and NHL. Conclusions: Compared to other countries in the region, Jordan has comparable rates. On the other hand the rates of cancer are markedly lower in Jordan compared to more industrialized countries such as the US and Europe. There was an overall increase in the incidence of cancer in Jordan, especially among females, which stresses the need for programs to raise awareness on the importance of early diagnosis and preventive life style measures.

PSEUDO n-JORDAN HOMOMORPHISMS AND PSEUDO n-HOMOMORPHISMS ON BANACH ALGEBRAS

  • Ebadian, Ali;Gordji, Madjid Eshaghi;Jabbari, Ali
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.411-423
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    • 2020
  • In this paper, we correct some errors and typos of [2] and introduce a new concept related to pseudo n-Jordan homomorphisms, that we call it pseudo n-homomorphism. We investigate automatic continuity and positivity of pseudo n-homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras and C*-algebras. Moreover, we show that the sum of two pseudo n-Jordan homomorphisms is not a pseudo n-Jordan homomorphism and we show that under some conditions the sum of two pseudo n-Jordan homomorphisms is a pseudo n-Jordan homomorphism.

Approximate Jordan mappings on noncommutative Banach algebras

  • Lee, Young-Whan;Kim, Gwang-Hui
    • Communications of the Korean Mathematical Society
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    • v.12 no.1
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    • pp.69-73
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    • 1997
  • We show that if T is an $\varepsilon$-approximate Jordan functional such that T(a) = 0 implies $T(a^2) = 0 (a \in A)$ then T is continuous and $\Vert T \Vert \leq 1 + \varepsilon$. Also we prove that every $\varepsilon$-near Jordan mapping is an $g(\varepsilon)$-approximate Jordan mapping where $g(\varepsilon) \to 0$ as $\varepsilon \to 0$ and for every $\varepsilon > 0$ there is an integer m such that if T is an $\frac {\varepsilon}{m}$-approximate Jordan mapping on a finite dimensional Banach algebra then T is an $\varepsilon$-near Jordan mapping.

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ON JORDAN AND JORDAN HIGHER DERIVABLE MAPS OF RINGS

  • Liu, Lei
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.957-972
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    • 2020
  • Let �� be a 2-torsion free unital ring containing a non-trivial idempotent. An additive map �� from �� into itself is called a Jordan derivable map at commutative zero point if ��(AB + BA) = ��(A)B + B��(A) + A��(B) + ��(B)A for all A, B ∈ �� with AB = BA = 0. In this paper, we prove that, under some mild conditions, each Jordan derivable map at commutative zero point has the form ��(A) = ��(A) + CA for all A ∈ ��, where �� is an additive Jordan derivation of �� and C is a central element of ��. Then we generalize the result to the case of Jordan higher derivable maps at commutative zero point. These results are also applied to some operator algebras.

Reasons for operation cancellations at a teaching hospital: prioritizing areas of improvement

  • Abeeleh, Mahmoud Abu;Tareef, Tareq M.;Hani, Amjad Bani;Albsoul, Nader;Samarah, Omar Q.;ElMohtaseb, M.S.;Alshehabat, Musa;Ismail, Zuhair Bani;Alnoubani, Omar;Obeidat, Salameh S.;Halawa, Sami Abu
    • Annals of Surgical Treatment and Research
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    • v.93 no.2
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    • pp.65-69
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    • 2017
  • Purpose: To report rates of and reasons for operation cancellation, and to prioritize areas of improvement. Methods: Retrospective data were extracted from the monthly reports of cancelled listed operations. Data on 14 theatres were collected by the office of quality assurance at Jordan University Hospital from August 2012 to April 2016. Rates and reasons for operation cancellation were investigated. A Pareto chart was constructed to identify the reasons of highest priority. Results: During the period of study, 6,431 cases (9.31%) were cancelled out of 69,066 listed cases. Patient no-shows accounted for 62.52% of cancellations. A Pareto analysis showed that around 80% of the known reasons for cancellation after admission were due to a lack of surgical theatre time (30%), incomplete preoperative assessment (21%), upper respiratory tract infection (19%), and high blood pressure (13%). Conclusion: This study identified the most common reasons for operation cancellation at a teaching hospital. Potential avoidable root causes and recommended interventions were suggested accordingly. Future research, available resources, hospital policies, and strategic measures directed to tackle these reasons should take priority.

JORDAN GENERALIZED DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS

  • Bahmani, Mohammad Ali;Bennis, Driss;Vishki, Hamid Reza Ebrahimi;Attar, Azam Erfanian;Fahid, Barahim
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.721-739
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    • 2018
  • In this paper, we investigate the problem of describing the form of Jordan generalized derivations on trivial extension algebras. One of the main results shows, under some conditions, that every Jordan generalized derivation on a trivial extension algebra is the sum of a generalized derivation and an antiderivation. This result extends the study of Jordan generalized derivations on triangular algebras (see [12]), and also it can be considered as a "generalized" counterpart of the results given on Jordan derivations of a trivial extension algebra (see [11]).

MAPS PRESERVING JORDAN AND ⁎-JORDAN TRIPLE PRODUCT ON OPERATOR ⁎-ALGEBRAS

  • Darvish, Vahid;Nouri, Mojtaba;Razeghi, Mehran;Taghavi, Ali
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.2
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    • pp.451-459
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    • 2019
  • Let ${\mathcal{A}}$ and ${\mathcal{B}}$ be two operator ${\ast}$-rings such that ${\mathcal{A}}$ is prime. In this paper, we show that if the map ${\Phi}:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is bijective and preserves Jordan or ${\ast}$-Jordan triple product, then it is additive. Moreover, if ${\Phi}$ preserves Jordan triple product, we prove the multiplicativity or anti-multiplicativity of ${\Phi}$. Finally, we show that if ${\mathcal{A}}$ and ${\mathcal{B}}$ are two prime operator ${\ast}$-algebras, ${\Psi}:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is bijective and preserves ${\ast}$-Jordan triple product, then ${\Psi}$ is a ${\mathbb{C}}$-linear or conjugate ${\mathbb{C}}$-linear ${\ast}$-isomorphism.