scientific article
zbMath0634.47006MaRDI QIDQ3772759
Publication date: 1987
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
semigroups of contractionssemi-spectral measuresthe tensor product of two unitary dilations is again a unitary dilation of the tensor product of the given objectspositive definite functions on a LCA-group with values in B(H)ors on a weakly complete Banach space X. Then the set of common eigenvectors of T(\^t) (\^t\(\in R^ n)\) is total if and only if the map \^t\(\mapsto T(\hat t)\) is weakly almost periodic. This result is applied to common eigenvectors of a finite family of commuting normal operators
Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20) Vector-valued measures and integration (46G10) Tensor products in functional analysis (46M05)
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