Michael Didas

I studied mathematics and physics at Saarland University from 1994 to 2002.

1996 Pre-Exams (Vordiplom) in mathmatics and physics
1998 Master's Degree (Diplom-Mathematiker)
2002 Ph. D. Dissertation (Dr. rer. nat.),
Diploma and Dissertation both under the supervision of Prof. Dr. Jörg Eschmeier

After graduating, I worked as a high-school teacher for 15 years and continued my mathematical studies as an independent researcher, mostly in collaboration with Jörg Eschmeier. The thematic focus of my work is on multidimensional operator theory with connections to several complex variables and measure theory.

Published Papers

Spectra of Quotient Modules
(joint with Jörg Eschmeier, Michael Hartz, and Marcel Scherer)
Journal of Functional Analysis, 2024, 286(3), 110223, Elsevier
https://doi.org/10.1016/j.jfa.2023.110223
A-Isometries and Hilbert-A-Modules Over Product Domains
Complex Analysis and Operator Theory, 2022, 16(5), 1-23, Springer
https://doi.org/10.1007/s11785-022-01243-6
On Schatten-class perturbations of Toeplitz operators
(joint with Jörg Eschmeier and Dominik Schillo)
Journal of Functional Analysis, 2017, 272(6), 24442-2462, Elsevier
https://doi.org/10.1016/j.jfa.2016.11.007
Dual Toeplitz Operators on the Sphere Via Spherical Isometries
(joint with Jörg Eschmeier)
Integral Equations and Operator Theory, 2015, 83(2), 291-300, Springer
https://doi.org/10.1007/s00020-015-2232-7

On the Structure of Hankel Algebras
Integral Equations and Operator Theory, 2014, 80(4), 511-525, Springer
https://doi.org/10.1007/s00020-014-2151-z
Derivations on Toeplitz Algebras
(joint with Jörg Eschmeier)
Canadian Mathematical Bulletin, 2014, 57(2), 270-276, Canadian Mathematical Society
https://doi.org/10.4153%2Fcmb-2013-001-9
On the essential commutant of analytic Toeplitz operators associated with spherical isometries
(joint with Jörg Eschmeier and Kevin Everard)
Journal of Functional Analysis, 2011, 261(5), 1361-1383, Elsevier
https://doi.org/10.1016/j.jfa.2011.05.005
Inner functions and spherical isometries
(joint with Jörg Eschmeier)
Proceedings of the AMS, 2011, 139(8), 2877-2889, American Mathematical Society
https://doi.org/10.1090/s0002-9939-2011-11034-7
On the slice map problem for H^∞ (Ω) and the reflexivity of tensor products
Proceedings of the AMS, 2009, 137(9), 2969-2978, American Mathematical Society
https://doi.org/10.1090/s0002-9939-09-09925-0
Unitary extensions of Hilbert A(D)-modules split
(joint with Jörg Eschmeier)
Journal of Functional Analysis, 2006, 238(2), 565-577, Elsevier
https://doi.org/10.1016/j.jfa.2006.02.002
Invariant subspaces for commuting pairs with normal boundary dilation and dominating Taylor spectrum
Journal of Operator Theory, 2005, 54(1), 169-187, Theta
https://www.jstor.org/stable/24715678
Subnormal tuples on strictly pseudoconvex and bounded symmetric domains
(joint with Jörg Eschmeier)
Acta Sci. Math. (Szeged), 2005, 71(3-4), 691-731, János Bolyai Mathematical Institute (University of Szeged)
Spherical Isometries are Reflexive
Integral Equations and Operator Theory, 2005, 52(4), 599-604, Springer
https://doi.org/10.1007/s00020-005-1354-8
Dual algebras generated by von Neumann n-tuples over strictly pseudoconvex sets
Dissertationes Mathematicae, 2004, 425, 1-77, Institute of Mathematics, Polish Academy of Sciences
https://doi.org/10.4064/dm425-0-1
E(T^n)-subscalar n-tuples and the Cesaro operator on H^p
Annales Universitatis Saraviensis, 2000 10(2), Universität des Saarlandes