G. Bellomonte

activity

20192026

collaborators

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4 papers · 1 filter

math.FA2024★ 1 cited

Banach bimodule-valued positive maps: Inequalities and induced representations

Giorgia Bellomonte, Stefan Ivkovic, Camillo Trapani

In this paper, we consider representations induced by general positive and completely positive sesquilinear maps with values in ordered Banach bimodules, such as the space of trace…

math.FA2023

Topological aspects of quasi -algebras with sufficiently many -representations

Giorgia Bellomonte, Camillo Trapani

Quasi *-algebras possessing a sufficient family $M$ of invariant positive sesquilinear forms carry several topologies related to $M$ which make every *-represen…

math.FA2020

Weak $A$ -frames and weak $A$ -semi-frames

Jean-Pierre Antoine, Giorgia Bellomonte, Camillo Trapani

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 \emph{…

math.FA2019

Continuous frames for unbounded operators

Giorgia Bellomonte

Few years ago Găvruţa gave the notions of $K$ -frame and atomic system for a linear bounded operator $K$ in a Hilbert space $H$ in order to decompose $R (K)$ , the…

Banach bimodule-valued positive maps: Inequalities and induced representations

Topological aspects of quasi *-algebras with sufficiently many *-representations

Weak A-frames and weak A-semi-frames

Continuous frames for unbounded operators

Topological aspects of quasi -algebras with sufficiently many -representations

Weak $A$ -frames and weak $A$ -semi-frames