6533b828fe1ef96bd1288436

RESEARCH PRODUCT

Weak A-frames and weak A-semi-frames

Jean Pierre AntoineGiorgia BellomonteCamillo Trapani

subject

Numerical AnalysisPure mathematicsMatematikApplied MathematicsDensely defined operatorDuality (optimization)Functional Analysis (math.FA)41A99 42C15Mathematics - Functional AnalysisSettore MAT/05 - Analisi MatematicaA-frames weak (upper and lower) A-semi-frames lower atomic systems G-dualityFOS: MathematicsAnalysis$A$-framesweak (upper and lower) $A$-semi-frameslower atomic systems$G$-dualityMathematicsMathematics

description

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 in (GB). We discuss duality properties and we suggest several possible definitions for weak $A$-upper semi-frames. Concrete examples are presented.

yearjournalcountryeditionlanguage
2021-03-01
10.33205/cma.835582http://hdl.handle.net/10447/492582