A note on Jordan automorphisms
H. Roos (1985)
Annales de l'I.H.P. Physique théorique
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H. Roos (1985)
Annales de l'I.H.P. Physique théorique
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J. Alonso, P. Martín, P. L. Papini (2008)
Studia Mathematica
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In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated. But not much effort has been devoted to organize all connections, also because the literature on the subject is growing at an always bigger rate. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann-Jordan and James constants. ...
A. Fernández López, E. García Rus, E. Sánchez Campos (1989)
Extracta Mathematicae
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A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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Jamjoom, F.B.H. (2009)
International Journal of Mathematics and Mathematical Sciences
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Eberhard Neher (1979)
Mathematische Zeitschrift
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Siddiqui, Akhlaq A. (2007)
International Journal of Mathematics and Mathematical Sciences
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Ottmar Loos (1991)
Mathematische Zeitschrift
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Antonio Fernández López (1992)
Publicacions Matemàtiques
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In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
Ola Bratteli, Derek W. Robinson (1976)
Annales de l'I.H.P. Physique théorique
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Fangyan Lu (2009)
Studia Mathematica
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We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.