Date:	Tue, February 25, 2014
Time:	11:15
Place:	Research I Seminar Room

Abstract: In this talk we discuss the eigenvalue type of operator ideals ${𝔑}_r$ restricted to the class of subspaces of quotient spaces of L_p spaces and show that all operators in it admit (nuclear-) trace, where $$1/r=1+|1/2+1/p|$$ The class ${𝔑}_r$ consists of operators, called r-nuclear operators, roughly speaking they have a representation $$T={\displaystyle \sum _{i=1}^{\infty }}{\lambda }_i{x}_i\text{'}\otimes x_i$$ The discussion concludes, in particular, the classical theorems due to A. Grothendieck 1955 and V. Lidskii 1959.