Weak AAA-frames and weak AAA-semi-frames

Jean Pierre ANTOINE; Giorgia BELLOMONTE; Camillo TRAPANI

doi:https://doi.org/10.33205/cma.835582

Article Details

Weak AAA-frames and weak AAA-semi-frames

Authors:

Jean Pierre ANTOINE | Giorgia BELLOMONTE | Camillo TRAPANI

Publisher:

Tuncer ACAR

Main Topics:

Mathematics

Journal:

Constructive Mathematical Analysis 2021 Vol.4 Issue 1, pp.104-118

Document Type:

Article

Publication Date:

2/2021

Document Language:

English

Document ID (Org No.):

2000914166

Frequency:

Quarterly

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.835582

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 AAA or, for short, a weak lower AAA-semi-frame and we study its properties. In particular, we compare it with that of  lower atomic systems, introduced in (GB). We discuss  duality properties and we suggest  several possible  definitions for weak AAA-upper semi-frames. Concrete examples are presented.

Article Details

Weak AAA-frames and weak AAA-semi-frames

Authors: Jean Pierre ANTOINE | Giorgia BELLOMONTE | Camillo TRAPANI

Publisher: Tuncer ACAR

Main Topics: Mathematics

Journal: Constructive Mathematical Analysis 2021 Vol.4 Issue 1, pp.104-118

Document Type: Article

Publication Date: 2/2021

Document Language: English

Document ID (Org No.): 2000914166

Frequency: Quarterly

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.835582

Issues

Authors:

Jean Pierre ANTOINE | Giorgia BELLOMONTE | Camillo TRAPANI

Publisher:

Tuncer ACAR

Main Topics:

Mathematics

Journal:

Constructive Mathematical Analysis 2021 Vol.4 Issue 1, pp.104-118

Document Type:

Article

Publication Date:

2/2021

Document Language:

English

Document ID (Org No.):

2000914166

Frequency:

Quarterly

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.835582