Let ACT-~(O, 1) be the linear space of functions v: (0,1) + R, which have absolutely continuous derivative of order (r -1) in (0, l), where 1 T < CQ. It is known, that AC'-l(O, 1) is a BAXACH space with the norm r -i 1 liTI1 := c SUP Iv(Y41 + J ltp"'(4l dz. k=O te(0.1) 0
On a Characterization of Lipschitzian Operators of Substitution in the Space BV{a, b)
✍ Scribed by J. Matkowski; J. Mrś
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 193 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Let BV (a, b) be the BANACH space of functions of boundedvariation p : (a, b ) --R with the norm b
📜 SIMILAR VOLUMES
dedicated to professor leonard gross on the occasion of his 70th birthday Functions of bounded variation (BV functions) are defined on an abstract Wiener space (E, H, +) in a way similar to that in finite dimensions. Some characterizations are given, which justify describing a BV function as a funct
Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.
Let H be a separable infinite-dimensional complex Hilbert space and let A B ∈ B H , where B H is the algebra of operators on H into itself. Let δ A B B H → B H denote the generalized derivation δ AB X = AX -XB. This note considers the relationship between the commutant of an operator and the commuta