SET-VALUED ORTHOGONALITY AND NEARNESS

Annamaria Barbagallo (1) , Octavian-Emil Ernst (2) , Michel Théra (3, 4)

1 University of Naples Federico II = Università degli studi di Napoli Federico II
2 AMU - Aix Marseille Université
3 XLIM-MATHIS - Mathématiques & Sécurité de l'information
4 Federation University Australia Ballarat

We introduce nearness and orthogonality between set-valued map-pings, extending the Campanato nearness and the Birkoff-James orthogonality of single-valued operators.

Domaines: Analyse classique [math.CA]

Annamaria Barbagallo, Octavian-Emil Ernst, Michel Théra. SET-VALUED ORTHOGONALITY AND NEARNESS. Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze Fisiche, Matematiche e Naturali, 2020. ⟨hal-02472257v2⟩