Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory
In this paper we considera generalizationof and discussan interestingexampleof a functionspacedefine...
Ideal domains have an elementary order theoretic structure: Every element is either compact or maxi...
We introduce and study new extensions of some separation axioms to ideal topological spaces, which w...
We investigate ideal spaces of measurable operators affiliated to a semifinite von Neumann algebr
Abstract. In this paper we give new and unified isomorphic characteriza-tions of approach spaces, pr...
© 2018, Pleiades Publishing, Ltd. Suppose that M is a von Neumann algebra of operators on a Hilbert ...
In this paper, the concepts of I-regular, I-normal and completely I-normal spaces have been presente...
WOS: 000271110500003The purpose of this paper is to introduce ideal minimal spaces and to investigat...
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz ...
This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional ana...
In the present paper we defined I-convergent sequence spaces with respect to invariant mean and a Mu...
We provide explicit formulas for the norm of bounded linear functionals on Orlicz-Lorentz function s...
Functional analysis was born in the early years of this decade as part of a huge trend toward abstra...
Spaces is a modern introduction to real analysis at the advanced undergraduate level. It is forward-...
Several results are established concerning the density of the set of ideal points in the set of mini...
In this paper we considera generalizationof and discussan interestingexampleof a functionspacedefine...
Ideal domains have an elementary order theoretic structure: Every element is either compact or maxi...
We introduce and study new extensions of some separation axioms to ideal topological spaces, which w...
We investigate ideal spaces of measurable operators affiliated to a semifinite von Neumann algebr
Abstract. In this paper we give new and unified isomorphic characteriza-tions of approach spaces, pr...
© 2018, Pleiades Publishing, Ltd. Suppose that M is a von Neumann algebra of operators on a Hilbert ...
In this paper, the concepts of I-regular, I-normal and completely I-normal spaces have been presente...
WOS: 000271110500003The purpose of this paper is to introduce ideal minimal spaces and to investigat...
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz ...
This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional ana...
In the present paper we defined I-convergent sequence spaces with respect to invariant mean and a Mu...
We provide explicit formulas for the norm of bounded linear functionals on Orlicz-Lorentz function s...
Functional analysis was born in the early years of this decade as part of a huge trend toward abstra...
Spaces is a modern introduction to real analysis at the advanced undergraduate level. It is forward-...
Several results are established concerning the density of the set of ideal points in the set of mini...
In this paper we considera generalizationof and discussan interestingexampleof a functionspacedefine...
Ideal domains have an elementary order theoretic structure: Every element is either compact or maxi...
We introduce and study new extensions of some separation axioms to ideal topological spaces, which w...