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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Integral equations and operator theory 19 (1994), S. 135-152 
    ISSN: 1420-8989
    Keywords: Primary 46H99 ; 30G30 ; 16A38 ; Secondary 16A32 ; 93B99 ; 45E05 ; 47A53
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Letf be an analytic Banach algebra valued function and suppose that the contour integral of the logarithmic derivativef′f −1 around a Cauchy domainD vanishes. Does it follow thatf takes invertible values on all ofD? For important classes of Banach algebras, the answer is positive. In general, however, it is negative. The counterexample showing this involves a (nontrivial) zero sum of logarithmic residues (that are in fact idempotents). The analysis of such zero sums leads to results about the convex cone generated by the logarithmic residues.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 417 (1975), S. 105-113 
    ISSN: 0044-2313
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Investigation of the Kinetics of Hydrolysis of Mixed Cyanothiocyanatochromates(III) by High Voltage IonophoresisThe hydrolysis of the mixed cyanothiocyanatochromates(III) is studied with respect to the influence of the light and of the darkness upon the reaction rate. As representatives the labelled complexes [Cr(N14CS)6]3minus;, [Cr(14CN)(NCS)5]3- and trans-[Cr(14CN)2(NCS)4]3-, being easy preparated, are used. After the high voltage ionophoresis, their zones on the pherogramms are located by means of the activity distribution curves. The activities of the stamped zones of the complexes are taken into account for the concentrations, in measuring the concentration-time dependance at various pH values and temperatures. The reaction rates, the half-times and the Arrhenius energy of activation are reported. The rate of hydrolysis is dependent on the structure of the complexes and 50-fold in the light.
    Notes: Die Hydrolyse gemischter Cyanothiocyanatochromate(III) unter Lichteinwirkung sowie Lichtausschluß wird am Beispiel der markierten, präparativ leicht zugänglichen Komplexe [Cr(N14CS)6]3-, [Cr(14CN)(NCS)5]3- und trans-[Cr(14CN)2(NCS)4]3- untersucht. Nach hochspannugsionophoretischer Trennung der Hydrolysegemische werden die Zonen auf den Pherogrammen durch die Aktivitätsverteilungskurven lokalisiert. Die Aktivitäten der ausgeschnittenen Zonen dienen als Konzentrationsmaß für die Aufnahme der Konzentrations-Zeit-Abhängigkeit bei verschiedenen pH-Werten und Temperaturen. Die Geschwindigkeitskonstanten, die Halbwertszeiten und die Aktivierungsenergien nach Arrhenius werden angegeben. Die Hydrolysegeschwindigkeit ist von der jeweiligen Struktur der Komplexe abhängig und bei Lichteinwirkung etwa um den Faktor 50 größer.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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