On normal extensions of unobounded operators

• Autorzy: Ota S.
• Języki publikacji: EN

Abstrakty

EN

Subnormality of unbounded operators in a Hilbert space is studied. It is shown that a closed subnormal operator, unlike a closed symmetric operator, has not necesarily a normal extension of the second kind (in terms of Naimark). In connection with this, the uniqueness of the normal extension to the same Hilbert space is discussed.

Słowa kluczowe

EN

normal extensions; subnormal operators; unbounded operators

PL

operator nieograniczony; operator podnormalny; operator w przestrzeni Hilberta; przedłużenia operatora; teoria operatora

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no. 3
• Strony: 291--301
• Opis fizyczny: Bibliogr. 16 poz.,

Twórcy

autor

Ota S.

• Mathematics, Kyushu Institute of Design, Shiobaru, Fukuoka, 815-8540 Japan

Bibliografia

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