A note on the differentiable structure of generalized idempotents

作者：Andruchow Esteban^*; Corach Gustavo; Mbekhta Mostafa

来源：Central European Journal of Mathematics, 2013, 11(6): 1004-1019.

DOI：10.2478/s11533-013-0230-z

• Generalized idempotents
• Generalized projections

For a fixed n %26gt; 2, we study the set I %26gt; of generalized idempotents, which are operators satisfying T (n+1) = T. Also the subsets I %26gt; (aEuro) , of operators such that T (n-1) is the Moore-Penrose pseudo-inverse of T, and I %26gt;*, of operators such that T (n-1) = T* (known as generalized projections) are studied. The local smooth structure of these sets is examined.

• 出版日期2013-6