Pseudospectra in a non-Archimedean Banach space and essential pseudospectra in Eω

Aymen ammar ammar, Ameni Bouchekoua, Aref Jeribi


In this work, we introduce and study the pseudospectra and the essential pseudospectra of linear operators respectively in the non-Archimedean Banach space and in the non-Archimedean Hilbert space Eω. In particular, we characterize these pseudospectra. Furthermore, inspired by T. Diagana and F. Ramaroson [12], we establish a relationship between the essential pseudospectrum of a closed operator and the essential pseudospectrum of this closed operator perturbed by completely continuous operator in the non-Archimedean Hilbert space Eω.


  • There are currently no refbacks.