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

Aymen Ammar | Zendy; Ameni Bouchekoua | Zendy; Aref Jeribi | Zendy

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

Author(s) -

Aymen Ammar,

Ameni Bouchekoua,

Aref Jeribi

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1912961a

Subject(s) - mathematics , hilbert space , banach space , linear operators , pure mathematics , linear map , operator (biology) , space (punctuation) , mathematical analysis , computer science , operating system , biochemistry , chemistry , repressor , transcription factor , bounded function , gene

In this work, we introduce and study the pseudospectra and the essential pseudospectra of linear operators in a non-Archimedean Banach space and in the non-Archimedean Hilbert space E?, respectively. 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 linear operator and the essential pseudospectrum of this closed linear operator perturbed by completely continuous operator in the non-Archimedean Hilbert space E?.

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