jordan c-dynamical systems
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده علوم
- author ثریا طالبی
- adviser اسدالله نیکنام
- Number of pages: First 15 pages
- publication year 1377
abstract
in the first chapter we study the necessary background of structure of commutators of operators and show what the commutator of two operators on a separable hilbert space looks like. in the second chapter we study basic property of jb and jb-algebras, jc and jc-algebras. the purpose of this chapter is to describe derivations of reversible jc-algebras in term of derivations of b (h) which are well underestood. in chapter three we shall show that the tensor product of two jordan generators is an infinitesimal generator on their special tensor products. finally, the object of fourth cgapter is to develop a cohomology for jordan operator algebras. we introduce two notions of amenability of jc-algebras and study module derivation of jb-algebras and tensor products of jc-algebras and nuclear jc-algebras. in particular we prove the continuity of module derivation for certain jb-algebras and we will show that a jc-algebra is amenable if and only if it is nuclear. finally we state a generalization of the haagerups theorem for certain non-associative algebras.
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وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده علوم
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