Applications of the Minimum Modulus Function in Operator Algebras
β Scribed by Graeme West
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 217 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Operator differential equations such as the matrix Riccati equation u$=a+bu+ud+ucu play a prominent role in the theory of scattering and transport and in other areas of technology; see, for example, [4,5,7] and the references cited there. Especially important are conditions for invariance of the uni
## Abstract We show that singular integral operators with piecewise continuous coefficients may gain massive spectra when considered in weighted spaces of continuous functions with a prescribed continuity modulus (generalized HΓΆlder spaces __H^Ο^__ (Ξ, __Ο__ )), a fact known for example for Lebesgu
We introduce a linearization property for parameter dependent operators from a space of continuous functions into itself. This notion leads to a new implicit function theorem. As an application, we study the stability of the solutions of the Ε½ .
INTRODUCTION AND STATEMENTS OF RESULTS ## w x Let G be an augmented algebra over a field k. In his paper 1 , Anick supposes given a set S of generators for G, together with a grading e: S Βͺ Z q and a total orderfor S, such that S is well ordered in each 0 Γ 4 degree. We will refer to the triple S