14 citations · 32 across the 14 of their papers we have counts for
17 papers
Precompactness notions in Kaplansky--Hilbert modules and extensions with discrete spectrum
Markus Haase, Henrik Kreidler
This paper is a continuation of our work on the functional-analytic core of the classical Furstenberg-Zimmer theory. We introduce and study (in the framework of lattice-ordered spa…
Vector-Valued Holomorphic Functions and Abstract Fubini-Type Theorems
Bernhard H. Haak, Markus Haase
Let be a function holomorphic in for fixed and measurable in for fixed and such that is bounde…
Holomorphic Hörmander-Type Functional Calculus on Sectors and Strips
Markus Haase, Florian Pannasch
In this paper, recent abstract multiplier theorems for -sectorial and -strip type operators by Kriegler and Weis (2018) are refined and generalized to arbitrary sectorial and…
A Decomposition Theorem for Unitary Group Representations on Kaplansky-Hilbert Modules and the Furstenberg-Zimmer Structure Theorem
Nikolai Edeko, Markus Haase, Henrik Kreidler
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hilbert modules over Stone algebras is established, which generalizes the well-kno…
On the Fundamental Principles of Unbounded Functional Calculi
Markus Haase
In this paper, a new axiomatization for unbounded functional calculi is proposed and the associated theory is elaborated comprising, among others, uniqueness and compatibility resu…
The Functional Calculus Approach to the Spectral Theorem
Markus Haase
A consistent functional calculus approach to the spectral theorem for strongly commuting normal operators on Hilbert spaces is presented. In contrast to the common approaches using…