In this paper we are to discuss the general form of the unitary dilation of the operator on the Hilbert space or on the space with an indefinite metric.Let H be a Hilbert space, and T be a contraction (or bounded ope...In this paper we are to discuss the general form of the unitary dilation of the operator on the Hilbert space or on the space with an indefinite metric.Let H be a Hilbert space, and T be a contraction (or bounded operator) on H. If there are two Hilbert spaces H1, H2 (or two spaces with indefinite metric, Ji is the metric operator of Hi, i=1, 2) and a unitary operator (or relative to the展开更多
文摘In this paper we are to discuss the general form of the unitary dilation of the operator on the Hilbert space or on the space with an indefinite metric.Let H be a Hilbert space, and T be a contraction (or bounded operator) on H. If there are two Hilbert spaces H1, H2 (or two spaces with indefinite metric, Ji is the metric operator of Hi, i=1, 2) and a unitary operator (or relative to the