2-K-Frames in 2-Hilbert Spaces

Résumé

The aim of this article, we introduce a 2-K-frames in the 2-Hilbert space H, where K is a θ-bounded linear operator on H for a fixed element θ in H, and explore some properties of them. Also, we will characterize the 2-Kframes by the 2 pre-K-frame operators, the 2-K-frame operators, likewise to what is seen in the case of Hilbert spaces. In the rest of the article, we will set a definition of θ-atomic systems for K, and give some results concerning this notion. Finally we will find out a representation of each element in a closed range R(K).

Citer ce document

Accès au document

Texte intégral en lecture en ligne, réservé aux abonnés SPHAERO et aux membres de l'institution. Se connecter

Voir l'article sur le site de la revue

Auteur(s)

Statistiques

Consultations : 1

Téléchargements : 0