Additive mappings in algebras of unbounded operators preserving operators of rank one

Details Additive mappings in algebras of unbounded operators preserving operators of rank one Additive mappings in algebras of unbounded operators preserving operators of rank one

2004-05-28

arxiv.org/abs/math/0405545v2

Mathematics

Operator Algebras

7 pages The first version of the paper is replaced by this one, because in the first version the enumeration of the Theorems,

Scientific paper

Let $ \mathcal D$ be a dense linear manifold in a Hilbert space $\mathcal H$ and let $L^+(\mathcal D)$ be the *-algebra of all linear operators $A$ such that $A \mathcal D \subset \mathcal D, A^* \mathcal D \subset \mathcal D$. Denote by $F(\mathcal D)$ the *-ideal of $L^+(\mathcal D)$ consisting of all finite-rank operators. A characterization of the structure of additive mappings of $F(\mathcal D)$ preserving operators of rank one or projections of rank one is given. The corresponding results for algebras of bounded operators on Banach spaces were given by P. \u{S}emrl.

Affiliated with

Also associated with

No associations

Rating

Additive mappings in algebras of unbounded operators preserving operators of rank one does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Additive mappings in algebras of unbounded operators preserving operators of rank one, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Additive mappings in algebras of unbounded operators preserving operators of rank one will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-446362