Publications

MathSciNet          arXiv.org 

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.; Kalauch, A.; Stennder, J.; van Gaans, O.
Characterizing Riesz* homomorphisms via interval preserving order adjoints.
2024

Lavanya, S.; Kalauch, A.; Sivakumar, K.C.
A class of singular M-operators on ordered Banach spaces.
2024

Reviewed articles

Kalauch, A.; Kuo, Wen-Chi; Watson, Bruce A.
Strong completeness of a class of L²(T)-type Riesz spaces.
Proceedings of the American Math. Soc., Series B, Volume 11 (2024), 243-253
doi.org/10.1090/bproc/230

Boisen, F.; Hölker, V.G.; Kalauch, A.; Stennder, J.; van Gaans, O.
A generalization of Riesz* homomorphisms on order unit spaces.
Quaestiones Mathematicae (2024)
doi.org/10.2989/16073606.2024.2346245

van Gaans, O.; Kalauch, A.; Roelands, M.
Order theoretical structures in atomic JBW-algebras: Disjointness, bands, and centres.
Positivity 28 (2024)
doi.org/10.1007/s11117-023-01024-1

Kalauch, A.; Kuo, Wen-Chi; Watson, Bruce A.
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces.
Quaestiones Mathematicae 47(S1) (2024), 233-246
doi.org/10.2989/16073606.2023.2287843

Kalauch, A.; Kusraeva, Z.A.
Extension and factorization of Riesz n-morphisms on pre-Riesz spaces.
J. Math. Anal. Appl. 507 (2022) 125767
doi.org/10.1016/j.jmaa.2021.125767

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