theory o r t o predictio n theory , etc . I hav e indicate d th e proble m an d th e mos t interestin g
results concernin g unitar y dilation s o f a commutativ e syste m o f contraction s bu t hav e
excluded an y referenc e t o dilation s o f representation s o f functio n algebras , o r t o unitar y
p-dilations.
Thus, i n short , I di d no t endeavou r t o giv e a bird' s ey e vie w o f all th e real m o f
operator theor y connecte d wit h th e dilatio n concept ; instea d I trie d t o give a possibl y
clear pictur e o f som e o f it s mai n provinces . I hop e tha t som e o f th e reader s wil l fin d
the them e interestin g an d promisin g enoug h fo r furthe r study , wit h th e hel p o f th e boo k
[H] an d th e curren t literature .
Szeged
July 1973 B " 1ygaN-2SS
v m
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