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  1. Article

    Open Access

    Duals of Cesàro sequence vector lattices, Cesàro sums of Banach lattices, and their finite elements

    In this paper, we study the ideals of finite elements in special vector lattices of real sequences, first in the duals of Cesàro sequence spaces ...

    Uğur Gönüllü, Faruk Polat, Martin R. Weber in Archiv der Mathematik (2023)

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    Article

    FINITE ELEMENTS IN ORDERED BANACH SPACES WITH POSITIVE BASES

    We characterize finite elements, an order-theoretic concept in Archimedean vector lattices, in the setting of ordered Banach spaces with positive unconditional basis as vectors having finite support with respe...

    Andreas Heinecke, Martin R. Weber in Journal of Mathematical Sciences (2023)

  3. No Access

    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)

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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)

  5. No Access

    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 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 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)