A. Kalauch

activity

20172026

collaborators

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8 papers · 1 filter

math.FA2026

The $T$ -strong duals of $L^{1} (T)$ and $L^{\infty} (T)$

Florian Boisen, Anke Kalauch, Wen-Chi Kuo +2

For a conditional expectation operator $T$ on a Dedekind complete Riesz space, we give representations of the $T$ -strong duals of $L^{1} (T)$ and $L^{\infty} (T)$ . The representation for…

math.FA2025

A functional representation approach to vector lattice covers for spaces of compact operators

Onno van Gaans, Jochen Glück, Anke Kalauch

For ordered normed vector spaces $X, Y$ , we consider the space $L (X, Y)$ of bounded linear operators and characterize when its cone of positive operators has non-empty int…

math.FA2023

Order theoretical structures in atomic JBW-algebras: disjointness, bands, and centres

Onno van Gaans, Anke Kalauch, Mark Roelands

Every atomic JBW-algebra is known to be a direct sum of JBW-algebra factors of type I. Extending Kadison's anti-lattice theorem, we show that each of these factors is a disjointnes…

math.FA2023

Strong completeness of a class of L2-type Riesz spaces

Anke Kalauch, Wenchi Kuo, Bruce Watson

Strong convergence and convergence in probability were generalized to the setting of a Riesz space with conditional expectation operator, T, in [Y. Azouzi, W.-C. Kuo, K. Ramdane, B…

math.FA2019

Projection bands and atoms in pervasive pre-Riesz spaces

Anke Kalauch, Helena Malinowski

In vector lattices, the concept of a projection band is a basic tool. We deal with projection bands in the more general setting of an Archimedean pre-Riesz space $X$ . We relate the…

math.FA2018

Pervasive and weakly pervasive pre-Riesz spaces