71 research outputs found
A subalgebra of the Hardy algebra relevant in control theory and its algebraic-analytic properties
We denote by A_0+AP_+ the Banach algebra of all complex-valued functions f
defined in the closed right half plane, such that f is the sum of a holomorphic
function vanishing at infinity and a ``causal'' almost periodic function. We
give a complete description of the maximum ideal space M(A_0+AP_+) of A_0+AP_+.
Using this description, we also establish the following results:
(1) The corona theorem for A_0+AP_+.
(2) M(A_0+AP_+) is contractible (which implies that A_0+AP_+ is a projective
free ring).
(3) A_0+AP_+ is not a GCD domain.
(4) A_0+AP_+ is not a pre-Bezout domain.
(5) A_0+AP_+ is not a coherent ring.
The study of the above algebraic-anlaytic properties is motivated by
applications in the frequency domain approach to linear control theory, where
they play an important role in the stabilization problem.Comment: 17 page
Phase separation in hydrated LTA zeolite
ArticleMICROPOROUS AND MESOPOROUS MATERIALS. 78(2-3): 169-180 (2005)journal articl
Low temperature vibrational spectra, lattice dynamics, and phase transitions in some potassium hexahalometallates: K2[XY6] with X=Sn or Te and Y=Cl or Br
Parent preferences regarding stimulant therapies for ADHD: a comparison across six European countries
Persistency, medication prescribing patterns, and medical resource use associated with multiple sclerosis patients receiving oral disease-modifying therapies: a retrospective medical record review
Survival, healthcare resource use and costs among stage IV ER + breast cancer patients not receiving HER2 targeted therapy: a retrospective analysis of linked SEER-Medicare data
Brain MRI lesions and atrophy are associated with employment status in patients with multiple sclerosis
- …