Weak A-frames and weak A-semi-frames

Giorgia Bellomonte, Camillo Trapani, Giorgia Bellomonte, Jean-Pierre Antoine

Risultato della ricerca: Articlepeer review

Abstract

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.
Lingua originaleEnglish
pagine (da-a)104-118
Numero di pagine15
RivistaCONSTRUCTIVE MATHEMATICAL ANALYSIS
Volume4
Stato di pubblicazionePublished - 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Numerical Analysis

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