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In mathematics, Fredholm operators are certain operators that arise in the Fredholm theory of integral equations. They are named in honour of Erik Ivar Fredholm. By definition, a Fredholm operator is a bounded linear operator T : X → Y between two Banach spaces with finite-dimensional kernel and finite-dimensional (algebraic) cokernel , and with closed range . The last condition is actually redundant.
In mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The integral equation was studied by Ivar Fredholm. A useful method to solve such equations, the Adomian decomposition method, is due to George Adomian.
Axel Evert Taube was a Swedish author, artist, composer and singer. He is widely regarded as one of Sweden's most respected musicians and the foremost troubadour of the Swedish ballad tradition in the 20th century.
Erik Ivar Fredholm was a Swedish mathematician whose work on integral equations and operator theory foreshadowed the theory of Hilbert spaces.
Patrik Jonas Andersson is a Swedish former professional footballer who played as a defender.
Patrik Berger is a Czech former professional footballer who played as a midfielder. He started his career in his own country with Slavia Prague and spent a season in Germany playing for Borussia Dortmund. He moved to England in 1996, where he spent seven years with Liverpool, winning four trophies in his time there. This was followed by spells at Portsmouth, Aston Villa and Stoke City. He spent the last two years of his career back in his native Czech Republic playing for Sparta Prague.
Fredholm is a small lunar impact crater that is located in the rugged ground to the west of the Mare Crisium. It was named after Swedish mathematician Erik I. Fredholm. It was previously designated Macrobius D. It lies midway between the prominent craters Macrobius to the north and Proclus almost due south.
In mathematics, a Fredholm kernel is a certain type of a kernel on a Banach space, associated with nuclear operators on the Banach space. They are an abstraction of the idea of the Fredholm integral equation and the Fredholm operator, and are one of the objects of study in Fredholm theory. Fredholm kernels are named in honour of Erik Ivar Fredholm. Much of the abstract theory of Fredholm kernels was developed by Alexander Grothendieck and published in 1955.
Mikael Patrik "Totte" Gerrbrand is a Swedish former professional footballer who played as a defender. Starting off his career with Hammarby IF in 2000, he went on to also represent Leicester City and Fredrikstad before retiring at Nacka FF in 2015. A youth international for Sweden, he appeared seven times for the Sweden U21 team between 2003 and 2004.
In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fredholm operators and Fredholm kernels on Hilbert space. The theory is named in honour of Erik Ivar Fredholm.
Fredholm is a Swedish surname. Notable people with the surname include:
Patrik Ingelsten is a Swedish football coach and former player, who played as a winger and forward.
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Udinese Calcio only faded a little bit compared to its club record-breaking 1997–98 season, in which it finished third in Serie A. With topscorer Oliver Bierhoff, midfielder Thomas Helveg and coach Alberto Zaccheroni all departing for Milan, Udinese was looking to be on the back foot prior to the start of the season.
Per Erik Rundquist was a Swedish novelist and poet. He made his literary debut in 1938, with the novel Sven-Patrik. Among his later novels are Kalla mig Ismael! from 1950, and Generalen from 1953. He was awarded the Dobloug Prize in 1974.
Patrik Hansson is a Swedish former professional footballer who played as a midfielder.
Patrik Schick is a Czech professional footballer who plays as a forward for Bundesliga club Bayer Leverkusen and the Czech Republic national team.
Patrik Johannesen is a Faroese professional footballer who plays as a striker for Breiðablik, and the Faroe Islands.
Patrik Sigurður Gunnarsson is an Icelandic professional footballer who plays as a goalkeeper for Viking FK.
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References
- ↑ Patrik Fredholm at WorldFootball.net
- ↑ Patrik Fredholm at the Norwegian Football Federation (in Norwegian)
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