AbstractIt is known that Lr(E, C(K)), the space of all regular operators from E into C(K), is a Riesz space for all Riesz spaces E if and only if K is Stonian. We prove that this statement holds if E is replaced by C(K), where K is a compact space, the cardinal number of which satisfies a certain condition
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into ...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
Ph.D. (Mathematics)Our objective in this thesis is to investigate two fundamental questions concerni...
AbstractWe prove that for an Archimedean Riesz space E the following two conditions are equivalent. ...
In this paper, it is shown that every compact operators are bounded and continuous. The bounded and ...
The main purposes of this work are the following: (i) To show how an order relation can be introduce...
AbstractFor Banach lattices E and F, L(E,F) is the space of all continuous linear operators E→F, Lr(...
The classical Riesz’s representation theorem permits to represent the continuous linear forms on C(K...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
Pre-Riesz spaces are partially ordered vector spaces which are order dense sub-spaces of vector latt...
Abstract. The notion of a conservative Markov operator in Lc • spaces is generalized to Riesz spaces...
Following several papers in the prior literature, we study the relationship between order bounded op...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
AbstractLet E be an Archimedean Riesz space possessing a weak unit e and let Ω be the collection of ...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into ...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
Ph.D. (Mathematics)Our objective in this thesis is to investigate two fundamental questions concerni...
AbstractWe prove that for an Archimedean Riesz space E the following two conditions are equivalent. ...
In this paper, it is shown that every compact operators are bounded and continuous. The bounded and ...
The main purposes of this work are the following: (i) To show how an order relation can be introduce...
AbstractFor Banach lattices E and F, L(E,F) is the space of all continuous linear operators E→F, Lr(...
The classical Riesz’s representation theorem permits to represent the continuous linear forms on C(K...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
Pre-Riesz spaces are partially ordered vector spaces which are order dense sub-spaces of vector latt...
Abstract. The notion of a conservative Markov operator in Lc • spaces is generalized to Riesz spaces...
Following several papers in the prior literature, we study the relationship between order bounded op...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
AbstractLet E be an Archimedean Riesz space possessing a weak unit e and let Ω be the collection of ...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into ...
summary:The $\sigma$-property of a Riesz space (real vector lattice) $B$ is: For each sequence $\{b_...
Ph.D. (Mathematics)Our objective in this thesis is to investigate two fundamental questions concerni...
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