Geodesic
Two definitions of a~determinant and proof of the Szeg\"o--Kac theorem
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 475-480

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A new proof of the Szegö–Kac theorem is given. It is based on a reformulation of the problem in terms of infinite bounded matrices and the connection between the two natural definitions of the determinant for such matrices. 
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     author = {B. N. Valuev},
     title = {Two definitions of a~determinant and proof of the {Szeg\"o--Kac} theorem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {475--480},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a12/}
}
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B. N. Valuev. Two definitions of a~determinant and proof of the Szeg\"o--Kac theorem. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 475-480. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a12/