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    Article

    On Finite Elements in Lattices of Regular Operators

    Let E and F be vector lattices and \({\mathcal L}^r(E,F)\) the ordered space of all regular operators, which turns ou...

    Zi Li Chen, Martin R. Weber in Positivity (2007)

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    Article

    On some vector lattices of operators and their finite elements

    If the vector space \({\mathcal{L}}^r(E, F)\) of all regular operators between the vector lattices E and F is ordered...

    Norbert Hahn, Siegfried Hahn, Martin R. Weber in Positivity (2009)

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    Article

    On finite elements in \(f\) -algebras and in product algebras

    Finite elements, which are well-known and studied in the framework of vector lattices, are investigated in \(\ell \) -...

    Helena Malinowski, Martin R. Weber in Positivity (2013)

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    Article

    On self-majorizing elements in Archimedean vector lattices

    A finite element in an Archimedean vector lattice is called self-majorizing if its modulus is a majorant. Such elements exist in many vector lattices and naturally occur in different contexts. They are also kn...

    Katrin Teichert, Martin R. Weber in Positivity (2014)

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    Article

    Cesàro vector lattices and their ideals of finite elements

    For the Cesàro matrix \(C=(c_{nm})_{n,m\in \mathbb {N}}\) C = ...

    Uğur Gönüllü, Faruk Polat, Martin R. Weber in Positivity (2023)