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He built up a see in his family homestead in Skálholt and founded a school. One of his students was Jón Ögmundarson, who later became the first bishop in Hólar. Ísleifur served as bishop for 24 years, right until his death.
His wife was Dalla Þorvaldsdóttir and they had three sons: Þorvaldur, Teitur and Gissur, the latter taking over as bishop after his father's death in 1080.
- (in German) Sauser, Ekkart (2001). Biographisch-Bibliographisches Kirchenlexikon (BBKL). Herzberg: Bautz. p. 704. ISBN 3-88309-086-7.
| Bishop of Skálholt
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