The Flinders University of South Australia was able to create a chair in applied mathematics to which he was appointed in January 1969 and occupied until his resignation in 1986.
Kluvánek graduated in 1953 from the Slovak Polytechnic University with a degree in electrical engineering specialising in vacuum technology.
[1] With the approval of the Czechoslovak authorities, he arrived with his wife and five children in Adelaide in March 1967 to take up a two-year visiting position at the newly established Flinders University of South Australia.
Besides his prison sentence, his wife had one year imprisonment imposed and all his property at home was forfeited, so they were effectively destitute and stateless.
He resigned his chair at Flinders in 1986 and after some unsuccessful attempts to study at seminaries in Sydney (1982) and Melbourne (1987–88) followed by temporary positions at the Centre for Mathematical Analysis in Canberra, he eventually left Australia in 1989 to settle in Bratislava.
There was some disillusionment with the nature and pace of the institutional reform in Slovakia and he held several positions in quick succession.
Igor Kluvánek made significant contributions to applied mathematics, functional analysis, operator theory and vector-valued integration.
For a sample of his influence in this area, see the excellent survey article "Five short stories about the cardinal series", Bull.
This notion was crucial for his investigations of the range of a vector measure and led to the extension to infinite dimensional spaces of the classical Liapunov convexity theorem, together with many consequences and applications.
The notion of a closed vector measure stimulated much research, especially by W. Graves and his students at Chapel Hill, North Carolina.
He spent a great deal of time during his appointment at Flinders developing course material for a basic foundation in mathematics.