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Trace conditions for regular spectral behavior of vector-valued analytic functions
- Source :
-
Linear Algebra & its Applications . Apr2009, Vol. 430 Issue 8/9, p1945-1965. 21p. - Publication Year :
- 2009
-
Abstract
- Abstract: A new class of Banach algebra valued functions is identified for which the logarithmic residue with respect to a Cauchy domain vanishes (if and) only if the functions take invertible values in . Trace conditions and the extraction of elementary factors of the type play an important role. The class contains the Fredholm operator valued functions and the Banach algebra valued functions possessing a simply meromorphic resolvent as special instances. An example is given to show that new ground is covered and a long standing open problem is discussed from a fresh angle. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 430
- Issue :
- 8/9
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36905301
- Full Text :
- https://doi.org/10.1016/j.laa.2008.11.004