CHARACTERISTIC MATRIX OF THE TENSOR PRODUCT OF OPERATORS

CHARACTERISTIC MATRIX OF THE TENSOR PRODUCT OF OPERATORS

The characteristic matrix of the tensor product of two Hilbert space operators is analyzed. The case where operators are not necessarily closable is also considered, and we determine (i) the closure of the graph of the algebraic tensor product T1 ⊗alg T2, (ii) the maximal closable part of T1 ⊗alg T2...

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Veröffentlicht in:Journal of operator theory 1998-10, Vol.40 (2), p.357-372
1. Verfasser: KOSAKI, HIDEKI
Format: Artikel
Sprache:eng
Schlagworte:
Adjoints
Algebra
Hilbert spaces
Mathematical theorems
Mathematical vectors
Projection of vectors
Tensors
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Zusammenfassung:The characteristic matrix of the tensor product of two Hilbert space operators is analyzed. The case where operators are not necessarily closable is also considered, and we determine (i) the closure of the graph of the algebraic tensor product T1 ⊗alg T2, (ii) the maximal closable part of T1 ⊗alg T2 in the sense of P. Jørgensen ([1]).
ISSN:0379-4024
1841-7744