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Dense nuclear Frechet ideals in $C^\star$-algebras
Dense nuclear Frechet ideals Operator Algebras Functional Analysis
2012/5/9
We show that a $C^\star$-algebra $B$ contains a dense Fr\'echet two-sided ideal $A$ satisfying seminorm inequalities $\| a_1 a_2 \|_n \leq
\min \bigl\{\, \|a_1\|_n \|a_2\|_B,\, \|a_1\|_B \|a_2\|_n \...