## Abstract Let __I__, __J__ β β be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ Γ __J__ β β, __H__ (__Ο__)(__x__) β __h__ (__x__, __Ο__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,
t-Osculating Operators in a Space of Continuous Functions and Applications
β Scribed by Alessandro Trombetta
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 76 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 .
π SIMILAR VOLUMES
## 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
Let C ( X , a ) be the space of all a-oonjugate continuous complex fnnctione, where a is an involution on X. Surjective isometries of such epaces are investigated and a generalization of the BANACH-STONE theorem is proved.
In a Hilbert space (H, & } &) is given a dense subspace W and a closed positive semidefinite quadratic form Q on W\_W. Thus W is a Hilbert space with the norm &u& 1 =(&u& 2 +Q(u)) 1Γ2 . For any closed subspace D of (W, & } & 1 ) let A(D) denote the selfadjoint operator in the closure of D in H such