A nonstandard difference Sturm-Liouville operator

• Autorzy: Javorskij, J. , Ljance, V.
• Języki publikacji: EN

Abstrakty

EN

After Nelson's Radically Elementary Probability Theory [1] a natural question arises: whether a hyperfinite-dimensional space is sufficiently rich to be used for the same goal as an infinite-dimensional one. Here a hyperfinite 3-diagonal matrix is investigated, which spectral properties are simular to the Naimarks's singular nonselfadjoint Sturm-Liouville differential operator on semi-axis [2, 3].

Słowa kluczowe

PL

operator samosprzężony; teoria operatora

EN

algebraic multiplicity; continuous spectrum; difference operator; eigenfunction; eigenprojector; eigenvalue; infinitesimal; Jose function; nonstandard operator theory; operator theory; principal function; resolvent; selfadioint operator; special classes of linear operators; spectral singularity; spectrum; standard; Sturm-Liouville operator

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 3
• Strony: 285-290
• Opis fizyczny: Bibliogr. 10 poz.,

Twórcy

autor

Javorskij, J.

autor

Ljance, V.