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Dašek was born in Prague and studied at the Prague Conservatory from 1962 to 1966 with professors including Milan Zelenka. While there he formed a trio and became well known as a guest soloist with Karel Velebný’s group SHQ. In 1964 he established a trio which included George Mraz, and from 1967–1968 he played with Ladislav Déczi’s quintet Jazz Cellula. He also joined Gustav Brom’s orchestra and the Prague Radio Symphony Orchestra.
From 1968 to 1970 Dašek was a member of the house band at the Blue Note club in Berlin and played with Lou Bennett’s trio. During this period he accompanied Benny Bailey, Carmell Jones, Tony Scott, Leo Wright, and many others. With Jiří Stivín he worked in the duo Systém Tandem (1971–1975, re-formed 1985), which performed successfully at European festivals. In addition Dašek performed with Philip Catherine and Christian Escoudé and toured repeatedly with Toto Blanke in an acoustic-guitar duo. He also recorded with Blanke in 1999.
- Alexander, Charles. Masters of Jazz Guitar: The Story of the Players and Their Music, p. 177. San Francisco: Backbeat Books; London: Hi Marketing, 2002. ISBN 0-87930-728-5
- Noglik, Bert. Jazzwerkstatt international. Berlin: Verlag Neue Musik, 1981.
- Matzner & Team. Encyklopedie jazzu a moderní populární hudby, p. 97-99. Praha: Supraphon, 1990.