### 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 |

### Fingerprint

### Keywords

- C*-algebra
- Completely bounded operator
- Haagerup tensor product
- Matrix algebra
- Operator space
- Row (column) bounded operator

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*International Journal of Mathematical Analysis*,

*4*(41-44), 2111-2120.

**Row (column) bounded operators on operator spaces.** / Manhas, J. S.

Research output: Contribution to journal › Article

*International Journal of Mathematical Analysis*, vol. 4, no. 41-44, pp. 2111-2120.

}

TY - JOUR

T1 - Row (column) bounded operators on operator spaces

AU - Manhas, J. S.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - C-algebra

KW - Completely bounded operator

KW - Haagerup tensor product

KW - Matrix algebra

KW - Operator space

KW - Row (column) bounded operator

UR - http://www.scopus.com/inward/record.url?scp=78650438145&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650438145&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 2111

EP - 2120

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

SN - 1312-8876

IS - 41-44

ER -