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- Sing-Cheong Ong
- 1984

The Schur product of two n×n complex matrices A=(aij), B=(bij) is defined by A∘B=(aijbij. By a result of Schur [2], the algebra of n×n matrices with Schur product and the usual addition is a… (More)

- Pachara Chaisuriya, Sing-Cheong Ong
- SIAM J. Matrix Analysis Applications
- 1999

Let p, q, r be real numbers such that $p, q, r \ge 1$, and let $\B$ be a Banach algebra. Let $\Bl$ denote the set of all matrices which define bounded linear transformations from $\ell^p$ into… (More)

- Sing-Cheong Ong
- 1982

Abstract Every invariant subspace of the commutant { A ′} of an operator A is the range of some operator in { A ′}. If two operators have the same lattice of invariant subspaces, then each is similar… (More)

AbstractThe essence of an interpolation theorem of Peetre can be re-formulated as follows: for P an injective, positive bounded operator, T any bounded operator, and Φ a continuous, non-negative,… (More)

- Sing-Cheong Ong
- 1991

Abstract Two linear operators A and B on a finite dimensional complex vector space have the same lattice of invariant subspaces if there exist an invertible operator S and a polynomial p such that B… (More)

In this paper, we define some new sequence spaces of infinite matrices regarded as operators on by using algebraic properties of such the matrices under the Schur product multiplication. Some of… (More)

The authors generalize results of L. Livshits, S.-C. Ong and S. W. Wang, Banach Space Duality in Absolute Schur Algebras, Integral Equations and Operator Theory. Vol. 41 (2001) 343-359.

Let be a C∗-algebra with identity 1, and let s( ) denote the set of all states on . For p,q,r ∈ [1,∞), denote by r( ) the set of all infinite matrices A= [ajk]j,k=1 over such that the matrix… (More)

Let A be a C ∗ -algebra with identity 1; and let s(A ) denote the set of all states on A. The state space s(A ) (with the weak ∗ topology) is used to construct classes of Banach spaces of functions… (More)