Jordan Weak Amenability and Orthognal Forms on JB*-algebras

Journal Article

Siddiqui, Fatmah B. Jamjoom, Antonio M. Peralta and Akhlaq A. . 2015

• رابط المنشور على الويب: http://projecteuclid.org/euclid.bjma/1429286061
• المجلة \ الصحيفة: Banach Journal of Mathematical Analysis
• رقم العدد: 4
• رقم الإصدار السنوي: 9
• الصفحات: from 126 to 145

مستخلص المنشور

We prove the existence of a linear isometric correspondence between
    the Banach space of all symmetric orthogonal forms on a JB*-algebra
    J and the Banach space of all purely Jordan generalized Jordan derivations
    from J into J* . We also establish the existence of a similar linear isometric
    correspondence between the Banach spaces of all anti-symmetric orthogonal
    forms on J, and of all Lie Jordan derivations from J into J*.