Publications
Table of contents
Book
Kalauch, A.; van Gaans, O.
Pre-Riesz Spaces.
De Gruyter Expositions in Mathematics 66, De Gruyter, Berlin, 2019
ISBN 978-3-11-047539-5
Recent work: preprints/submitted articles
Boisen, F.; Hölker, V.G.; Kalauch, A.; Stennder, J.; van Gaans, O.
A generalization of Riesz* homomorphisms on order unit spaces
2023
Lavanya, S.; Kalauch, A.; Sivakumar, K.C.
A class of singular M-operators on ordered Banach spaces
2023
Kalauch, A.; Kuo, Wenchi; Watson, Bruce A.
Strong completeness of a class of L2-type Riesz spaces
2023
Reviewed articles
van Gaans, O.; Kalauch, A.; Roelands, M.
Order theoretical structures in atomic JBW-algebras: Disjointness, bands, and centres
2023, Positivity, to appear
Kalauch, A.; Kuo, Wenchi; Watson, Bruce A.
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces
2023, Quaestiones Mathematicae, to appear
Kalauch, A.; Kusraeva, Z.A.
Extension and factorization of Riesz n-morphisms on pre-Riesz spaces.
J. Math. Anal. Appl. 507 (2022) 125767
Hauser, T.; Kalauch, A.
Order continuity from a topological perspective.
Positivity 25(5) (2021), 1821-1852
doi.org/10.1007/s11117-021-00834-5
Kalauch, A.; Stennder, J.; van Gaans, O.
Operators in pre-Riesz spaces: moduli and homomorphisms.
Positivity 25(5) (2021), 2099-2136
doi.org/10.1007/s11117-021-00854-1
Kalauch, A.; Malinowski, H.
Projection bands and atoms in pervasive pre-Riesz spaces.
Positivity 25 (2021), 177-203
doi.org/10.1007/s11117-020-00757-7
Kalauch, A.; Lavanya, S.; Sivakumar, K.C.
Singular irreducible M-operators on ordered Banach spaces.
J. Anal. 29 (2021), 407-423
doi.org/10.1007/s41478-020-00225-1
Kalauch, A.; van Gaans, O.; Zhang, F.
Disjointness preserving operators on normed pre-Riesz spaces: extensions and inverses.
Positivity 24 (2020), 481-504
doi: 10.1007/s11117-019-00684-2
Kalauch, A.; Malinowski, H.
Order continuous operators on pre-Riesz spaces and embeddings.
Z. Anal. Anwend. 38(4) (2019), 375-395
doi: 10.4171/ZAA/1642 arXiv
Kalauch, A.; Malinowski, H.
Vector lattice covers of ideals and bands in pre-Riesz spaces.
Quaest. Math. 42(7) (2019), 919-937
doi: 10.2989/16073606.2018.1501620 arXiv
Kalauch, A.; Lemmens, B.; van Gaans, O.
Inverses of disjointness preserving operators in finite-dimensional pre-Riesz spaces.
Quaest. Math. 42(4) (2019), 423-430
doi: 10.2989/16073606.2018.1451405
Kalauch, A.; Lavanya, S.; Sivakumar, K.C.
Singular irreducible M-matrices revisited.
Linear Algebra and its Applications 565 (2019), 47-64
doi: 10.1016/j.laa.2018.11.030
Kalauch, A.; Lavanya, S.; Sivakumar, K.C.
M-operators on partially ordered Banach spaces.
Adv. Oper. Theory 4(2) (2019), 481-496.
doi: 10.15352/aot.1806-1383
Kalauch, A.; Malinowski, H.
Pervasive and weakly pervasive pre-Riesz spaces.
Indag. Math. (N.S.) 30(2) (2019), 375-385
doi: 10.1016/j.indag.2018.11.003 arXiv
Kalauch, A.; van Gaans, O.; Zhang, F.
Disjointness preserving C0-semigroups and local operators on ordered Banach spaces.
Indag. Math. (N.S.) 29(2) (2018), 535-547
doi: 10.1016/j.indag.2017.10.005 arXiv
Kalauch, A.; Lemmens, B.; van Gaans, O.
Bands in partially ordered vector spaces with order unit.
Positivity, 19(3) (2015), 489-511
doi: 10.1007/s11117-014-0311-7 arXiv
Doan, T.S.; Kalauch, A.; Klose, M.; Siegmund, S.
Stability of positive linear switched systems on ordered Banach spaces.
Systems & Control Letters 75(2015), 14–19
doi: 10.1016/j.sysconle.2014.10.004
Kalauch, Anke; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
A Hilbert space perspective on ordinary differential equations with memory term.
J. Dyn. Diff. Equat. 26(2) (2014), 369–399
doi: 10.1007/s10884-014-9353-6 arXiv
Kalauch, A.; van Gaans, O.
Directed ideals in partially ordered vector spaces.
Indag. Math. (N.S.), 25(2) (2014), 296-304
doi: 10.1016/j.indag.2013.04.005
Kalauch, A.; Lemmens, B.; van Gaans, O.
Riesz completions, functional representations, and anti-lattices.
Positivity, 18(1) (2014), 201-218
doi: 10.1007/s11117-013-0240-x
Doan, T.S.; Kalauch, A.; Siegmund, S.
A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets.
IEEE Transactions on Automatic Control, 58(3) (2013), 748-751
doi: 10.1109/TAC.2012.2209270
Kalauch, A.; van Gaans, O.
Tensor products of Archimedean partially ordered vector spaces.
Positivity 14(4) (2010), 705-714.
doi: 10.1007/s11117-010-0085-5
(Extended version: Report of the Mathematical Institute of Leiden University MI-2010-01).
Doan, T.S.; Kalauch, A.; Siegmund, S.; Wirth, F.
Stability radii for positive linear time-invariant systems on time scales.
Syst. Control Letters 59 (2010), 173-179.
doi: 10.1016/j.sysconle.2010.01.002
Doan, T.S.; Kalauch, A.; Siegmund, S.
Exponential stability of linear time-invariant systems on time scales.
Nonlinear Dynamics and Systems Theory 9(1) (2009), 37-50.
van Gaans, O.: Kalauch, A.
Bands in pervasive pre-Riesz spaces.
Operators and Matrices 2(2) (2008), 177-191.
van Gaans, O.; Kalauch, A.
Ideals and bands in pre-Riesz spaces.
Positivity 12(4) (2008), 591-611.
doi: 10.1007/s11117-008-2156-4
van Gaans, O.; Kalauch, A.
Disjointness in partially ordered vector spaces.
Positivity 10(3) (2006), 573-589.
doi: 10.1007/s11117-005-0015-0
Kalauch, A.
On maximum principles for M-operators.
Linear Algebra and its Applications 371 (2003), 209-224.
doi: 10.1016/S0024-3795(03)00518-4
Kalauch, A.
On positive-off-diagonal operators on ordered normed spaces.
Journal of Analysis and its Applications 22(1) (2003), 229-238.
doi: 10.4171/ZAA/1142
Kalauch, A.; Weber, M.R.
On a certain maximum principle for positive operators in an ordered normed space.
Positivity 4(2) (2000), 179-195.
doi: 10.1023/A:1009874015044
Articles in proceedings
Kalauch, A.; van Gaans, O.
Multiplicative representation of real-valued bi-Riesz homomorphisms in partially ordered vector spaces.
in: Kikianty, E. (ed.), Mabula, M. (ed.), Messerschmidt, M. (ed.), van der Walt, J.H. (ed.), Wortel, M. (ed.): Positivity and its Applications, Proceedings of the Conference Positivity X, Pretoria, South Africa, 8-12 July 2019, Trends in Mathematics, Birkhäuser (2021)
Kalauch, A.; Lavanya, S.; Sivakumar, K.C.
Matrices whose group inverses are M-matrices.
Linear Algebra and its Applications 614 (2021), 44-67, Special Issue ILAS 2019
doi.org/10.1016/j.laa.2019.12.026
Kalauch, A.; van Gaans, O.
Relatively uniform convergence in partially ordered vector spaces revisited.
in: G. Buskes et al. (eds.), Positivity and Noncommutative Analysis,
Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday,
Trends in Mathematics, Springer Nature Switzerland AG (2019).
Doan, T.S.; Kalauch, A.; Siegmund, S.
Hyperbolicity radius of time-invariant linear systems.
Proceedings of the International Conference on Differential & Difference Equations and Applications 47 (2013), 113-125
Kalauch, A.; Weber, M.R.
On a certain maximum principle for positively invertible matrices and operators in an ordered normed space.
Lecture Notes in Pure and Applied Mathematics: Function Spaces - the Fifth Conference (Poznan, 1998) 213 (2000), 217-230.
PHD Thesis/Habilitation
Structures and operators in pre-Riesz spaces and stability of positive linear systems
Habilitation, TU Dresden (2014) SLUB
Positive-off-diagonal operators on ordered normed spaces and maximum principles for M-operators
Dissertation, TU Dresden (2006) SLUB