scholarly journals Interplay between Spectrally Bounded Operators and Complex Analysis

2013 ◽  
Vol 0072 ◽  
pp. 57-70
Author(s):  
Martin Mathieu
2009 ◽  
Vol 02 (03) ◽  
pp. 487-501 ◽  
Author(s):  
Martin Mathieu

We discuss several open problems on spectrally bounded operators, some new, some old, adding in a few new insights.


2002 ◽  
Vol 152 (2) ◽  
pp. 187-199 ◽  
Author(s):  
M. Mathieu ◽  
G. J. Schick

1977 ◽  
Vol 38 (03) ◽  
pp. 0677-0684 ◽  
Author(s):  
Raymund Machovich ◽  
Péter Arányi

SummaryHeat inactivation of thrombin at 54° C followed first order kinetics with a rate constant of 1.0 min−1 approximately. Addition of heparin resulted in protection against thermal denaturation and, at the same time, rendered denaturation kinetics more complex. Analysis of the biphasic curve of heat inactivation in the presence of heparin revealed that the rate constants of the second phase changed systematically with heparin concentrations. Namely, at 4.5 × 10−6M, 9 × 10−6M, 1.8 × 10−5M and 3.6 × 10−5M heparin concentrations, the rate constants were 0.27 min−1, 0.17 min−1, 0.11 min−1 and 0.06 min−1, respectively.Sulfate as well as phosphate ions displayed also enzyme protection against heat inactivation, however, the same effect was obtained already at a heparin concentration, lower by three orders of magnitude.The kinetics of enzyme denaturation was not affected by calcium ions, whereas in the presence of heparin the inactivation rate of thrombin changed, i. e. calcium ions abolished the biphasic character of time course of thermal denaturation.Thus, the data suggest that calcium ions contribute to the effect of heparin on thrombin.


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