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Weak A-frames and weak A-semi-frames

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Antoine, Jean-Pierre, Giorgia Bellomonte, Camillo Trapani [UCL]

After reviewing the interplay between frames and lower semi-frames, we introduce the notion of lower semi-frame controlled by a densely defined operator A or, for short, a weak lower A-semi-frame and we study its properties. In particular, we compare it with that of lower atomic systems, introduced by one of us (GB). We discuss duality properties and we suggest several possible definitions for weak A-upper semi-frames. Concrete examples are presented.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2021
Language Anglais
Journal information "Constructive Mathematical Analysis" - Vol. 4, no.1, p. 104-118 (2021)
Peer reviewed yes
Publisher Dergipark.gov.tr (Ankara, TR)
issn 2651-2939
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords A-frames ; weak (upper and lower) A-semi-frames ; lower atomic systems ; G-duality
Links
Bibliographic reference Antoine, Jean-Pierre, Giorgia Bellomonte, Camillo Trapani. Weak A-frames and weak A-semi-frames. In: Constructive Mathematical Analysis, Vol. 4, no.1, p. 104-118 (2021)
Permanent URL http://hdl.handle.net/2078.1/244287