**Research**

Currently I am working on *p*-operator space and its application to harmonic analysis on locally compact groups.

*p*-operator space can be regarded as an *L** _{p}*-space generalization of classical operator space, which is based on Hilbert spaces.

Fourier algebra *A(G)* on a locally compact group *G* has turned out to have close connection with various properties of *G* itself.

For example, it is well-known that a group *G* is amenable if and only if *A(G)* has a bounded approximate identity,

and operator space theory has played an important role in studying other relationships between *A(G)* and *G*.

Generalizing this idea, we study Figà-Talamanca-Herz algebra *A*_{p}*(G) *which can be thought of as an *L** _{p}*-space generalization of

and thus it is natural to study *A*_{p}*(G)* and related algebras in the frame work of *p*-operator space.

Publication

Hahn-Banach type extension theorems on p-operator spaces (arXiv: 1303.3513)