Bent Fuglede
Encyclopedia
Bent Fuglede is a Danish
Denmark
Denmark is a Scandinavian country in Northern Europe. The countries of Denmark and Greenland, as well as the Faroe Islands, constitute the Kingdom of Denmark . It is the southernmost of the Nordic countries, southwest of Sweden and south of Norway, and bordered to the south by Germany. Denmark...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 and, since 1992, retired professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...

 (emeritus
Emeritus
Emeritus is a post-positive adjective that is used to designate a retired professor, bishop, or other professional or as a title. The female equivalent emerita is also sometimes used.-History:...

) from University of Copenhagen
University of Copenhagen
The University of Copenhagen is the oldest and largest university and research institution in Denmark. Founded in 1479, it has more than 37,000 students, the majority of whom are female , and more than 7,000 employees. The university has several campuses located in and around Copenhagen, with the...

.

He is known for his contributions to mathematical analysis, in particular functional analysis
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...

, where he has proved Fuglede's theorem
Fuglede's theorem
In mathematics, Fuglede's theorem is a result in operator theory, named after Bent Fuglede.- The result :Theorem Let T and N be bounded operators on a complex Hilbert space with N being normal. If TN = NT, then TN* = N*T, where N* denotes the adjoint of N.Normality of N is necessary, as is seen by...

 and stated Fuglede's conjecture.

Fuglede graduated from Skt. Jørgens Gymnasium
Skt. Jørgens Gymnasium
Skt. Jørgens Gymnasium was a Danish grammar school located in Frederiksberg, Copenhagen. It was established in 1858 as Frk. Jessens Forberedelsesskole and changed name to J.V. Jessens Latin- og Realskole in 1889. After yet a name change in 1904 to Henrik Madsens [Latin- og Real]Skole it was...

 1943 and received his mag. scient. og cand. mag. in 1948 at the University of Copenhagen
University of Copenhagen
The University of Copenhagen is the oldest and largest university and research institution in Denmark. Founded in 1479, it has more than 37,000 students, the majority of whom are female , and more than 7,000 employees. The university has several campuses located in and around Copenhagen, with the...

 after which he studied in USA until 1951. In 1952 he was employed as scientific assistant at Den Polytekniske Læreanstalt and in 1954 as amanuensis at Matematisk Institut University of Copenhagen, in 1958 associate professor, and in 1959 head of department. Fuglede also spent one year in Lund (Sweden) as Nordic docent. Fuglede received his dr.phil. (Ph.D.) in 1960 from the University of Copenhagen; his doctoral advisor
Doctoral advisor
A doctoral advisor is an advanced member of a university faculty whose role is to guide a graduate student who is a candidate for a doctorate degree, helping them select coursework, as well as shaping, refining and directing the students' choice of sub-discipline...

 was Børge Jessen
Børge Jessen
Børge Christian Jessen was a Danish mathematician best known for his work in analysis, specifically on zeta function, and in geometry, specifically on Hilbert's third problem....

. after which he became professor of math at Danmarks tekniske Højskole. In 1965 he became professor of math at the University of Copenhagen, where he stayed until his retirement in 1992. He is a member of the Danish academy of science, the Finish academy of science and the academy of science of Bayern.

In 1980 he was elected as a foreign member to the Finnish Academy of Science and Letters
Finnish Academy of Science and Letters
The Finnish Academy of Science and Letters is a Finnish learned society. It was founded in 1908 as a Finnish-language counterpart of the Swedish-language Finnish Society of Sciences and Letters, which had existed since 1838.- Members :The academy has a total of 328 seats for Finnish members...

.

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