Tita, N., Talpău Dimitriu, M. (2018). On some inequalities for the approximation numbers in Banach Algebras. Advances in Operator Theory, (), 1-8. doi: 10.15352/aot.1802-1314

Nicolae Tita; Maria Talpău Dimitriu. "On some inequalities for the approximation numbers in Banach Algebras". Advances in Operator Theory, , , 2018, 1-8. doi: 10.15352/aot.1802-1314

Tita, N., Talpău Dimitriu, M. (2018). 'On some inequalities for the approximation numbers in Banach Algebras', Advances in Operator Theory, (), pp. 1-8. doi: 10.15352/aot.1802-1314

Tita, N., Talpău Dimitriu, M. On some inequalities for the approximation numbers in Banach Algebras. Advances in Operator Theory, 2018; (): 1-8. doi: 10.15352/aot.1802-1314

On some inequalities for the approximation numbers in Banach Algebras

^{2}Department of Mathematics and Informatics, Transilvania University of Braşov, Romania

Receive Date: 05 March 2018,
Revise Date: 11 April 2018,
Accept Date: 19 April 2018

Abstract

In this paper we generalize some inequalities for the approximation numbers of an element in a normed (Banach) algebra $X$ and, as an application, we present inequalities for the quasinorms of some ideals defined by means of the approximation numbers. In particular, if $X=L(E)$ - the algebra of linear and bounded operators $T:E\To E$, where $E$ is a Banach space, we obtain inequalities for certain quasinorms of operators.