Abstract
We have explored some properties of row (column) bounded operators and their relations to completely bounded operators and bounded operators on operator spaces and C*-algebras. Among other results, we obtained an equivalence of a row bounded operator with a bounded bilinear operator through the Haagerup tensor product of C*-algebras. Also, we have computed norms for some row bounded operators on matrix algebras.
| Original language | English |
|---|---|
| Pages (from-to) | 2111-2120 |
| Number of pages | 10 |
| Journal | International Journal of Mathematical Analysis |
| Volume | 4 |
| Issue number | 41-44 |
| Publication status | Published - 2010 |
Keywords
- C*-algebra
- Completely bounded operator
- Haagerup tensor product
- Matrix algebra
- Operator space
- Row (column) bounded operator
ASJC Scopus subject areas
- General Mathematics