Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The eBook begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds
In the paper we study some properties of non-negative lattice group valued measures on topological s...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
A lattice ordered group valued measure is extended from a D-lattice into a σ-complete D-lattice. A D...
We present some convergence and boundedness theorems with respect to filter convergence for lattice ...
ABSTRACT. We present here a survey of several decomposition and convergence theorems for measures wi...
This paper is concerned with lattice-group valued measures for which the sygma-additivity is defined...
summary:In some recent papers, results of uniform additivity have been obtained for convergent seque...
We prove a uniform boundedness theorem and a Vitali-Hahn-Saks theorem for modular measures on D-lat...
AbstractAbsolute continuity, s-boundedness, and extensions are studied, in the context of the so-cal...
We consider (strong uniform)continuity of thelimit of a pointwise convergent net of latticegroup-val...
(corresponding author) Copyright c © 2013 Antonio Boccuto and Xenofon Dimitriou. This is an open acc...
Several important topological concepts such as regularity, local compactness, and local boundedness ...
Several important topological concepts such as regularity, local compactness, and local boundedness ...
ABSTRACT. Absolute continuity, singularity and Lebesgue decompositions are studied, in the context o...
summary:A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattic...
In the paper we study some properties of non-negative lattice group valued measures on topological s...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
A lattice ordered group valued measure is extended from a D-lattice into a σ-complete D-lattice. A D...
We present some convergence and boundedness theorems with respect to filter convergence for lattice ...
ABSTRACT. We present here a survey of several decomposition and convergence theorems for measures wi...
This paper is concerned with lattice-group valued measures for which the sygma-additivity is defined...
summary:In some recent papers, results of uniform additivity have been obtained for convergent seque...
We prove a uniform boundedness theorem and a Vitali-Hahn-Saks theorem for modular measures on D-lat...
AbstractAbsolute continuity, s-boundedness, and extensions are studied, in the context of the so-cal...
We consider (strong uniform)continuity of thelimit of a pointwise convergent net of latticegroup-val...
(corresponding author) Copyright c © 2013 Antonio Boccuto and Xenofon Dimitriou. This is an open acc...
Several important topological concepts such as regularity, local compactness, and local boundedness ...
Several important topological concepts such as regularity, local compactness, and local boundedness ...
ABSTRACT. Absolute continuity, singularity and Lebesgue decompositions are studied, in the context o...
summary:A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattic...
In the paper we study some properties of non-negative lattice group valued measures on topological s...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
A lattice ordered group valued measure is extended from a D-lattice into a σ-complete D-lattice. A D...