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math.FA2022
Metric and topological homology. Projectivity, injectivity and flatness
Norbert Nemesh
In this book we study metric and topological versions of projectivity injectivity and flatness of Banach modules over Banach algebras. These two non-standard versions of Banach hom…
math.FA2013
Multiplication operators on spaces and homological triviality of respective category of modules
Norbert Nemesh
We give complete characterisation of topologically injective (bounded below), topologically surjective (open mapping), isometric and coisometric (quotient mapping) multiplication o…
math.FA2013
Metric and topological freedom for operator sequence spaces
N. T. Nemesh, S. M. Shteiner
In this paper we give description of free and cofree objects in the category of operator sequence spaces. First we show that this category possess the same duality theory as catego…