# Functional Analysis II by Aad Dijksma, Heinz Langer, Henk de Snoo (auth.), Davor

By Aad Dijksma, Heinz Langer, Henk de Snoo (auth.), Davor Butković, Svetozar Kurepa, Hrvoje Kraljević (eds.)

This quantity contains a protracted monographic paper by way of J. Hoffmann-Jorgensen and a couple of shorter examine papers and survey articles masking diversified facets of practical research and its software to chance conception and differential equations.

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Additional resources for Functional Analysis II

Example text

It is the characteristic function of the ~, _ unitary colligation (N,~(S -~), v(S*-~);C~(S(~)), IIv(S*_~), Pv(S*-~)'0) and with - ~ , ~ e ¢~, the operator Pv(s*-~)(l - zC~(S(v)D-~ is the projection of H onto £-p v(S*-~) parallel to R(S-£); H = v ( S * - ~ ) + E ( S - ~ ) , direct sum, £6~-~. Hence it is z= clear that Y~(z) =Y (z) , or, in other words, that Y--~is the characteristic function of the isometric operator C (S). As to the boundary behaviour of Y with \$ =%%_- ~ , % E ~ , a unique ~ 6 v ( S D0(Y (~)) is the set of all ~ 6 v ( S * - ~ ) -~) such that ~ - ~ 6 R ( S - % ) more, D0(Y (I)) is the set of all ~ 6~(S*-~) on ~ we note that for which there exists and then Y ( ~ ) ~ = ~ , ~ 6 D 0 ( Y (\$)).

Nauk SSSR Amer. Math. Soc. Transl. (2) 40 1-37). V. ~traus, On the extensions of syrmnetric operators depending on a parameter, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965) 1389-1416 Soc. Transl. V. ~traus, On one-parameter Amer. Math. families of extensions of a symmetric operator, Akad. Nauk SSSR Ser. Mat. 30 (1966) 1325-1352 Soc. Transl. (English translation: (2) 61 (1967) 113-141). (English translation: Izv. Amer. Math. (2) 90 (1970) 135-164). V. ~traus, On the extensions and the characteristic tor, ~zv.

Traus, On some questions University, Dissertation, in the theory of symmetric operators, Moscow State 1960. V. ~traus, Characteristic functions of linear operators, Ser. Mat. 24 (1960) 43-74 (English translation: (1964) Izv. Akad. Nauk SSSR Amer. Math. Soc. Transl. (2) 40 1-37). V. ~traus, On the extensions of syrmnetric operators depending on a parameter, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965) 1389-1416 Soc. Transl. V. ~traus, On one-parameter Amer. Math. families of extensions of a symmetric operator, Akad.