On Jordan all-derivable points of
โ Scribed by Jing Wu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 111 KB
- Volume
- 430
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
โฆ Synopsis
Generalized Jordan all-derivable point Jordan derivable map Generalized Jordan derivable map Derivation Generalized derivation
Let H be a Hilbert space and B(H) the algebra of all bounded linear operators on H. In this note we show that 0 is a generalized Jordan all-derivable point of B(H) if H is infinite-dimensional. For any Hilbert space H, we also show that I is a Jordan all-derivable point of B(H).
๐ SIMILAR VOLUMES
Let A be an operator subalgebra in B(H ), where H is a Hilbert space. We say that an element Z โ A is an all-derivable point of A for the norm-topology (strongly operator topology, etc.) if, every norm-topology (strongly operator topology, etc.) continuous derivable linear mapping ฯ at Z (i.e. ฯ(ST
Suppose that A is an operator algebra on a Hilbert space H. An element V in A is called an all-derivable point of A for the strong operator topology if every strong operator topology continuous derivable mapping ฯ at V is a derivation. Let N be a complete nest on a complex and separable Hilbert spac