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Dovland, Olav Kristian Gunnarson
(2022).
Convexity and big slices.
Vis sammendrag
We give an overview of recent result concerning how strong convexity properties can co-exist with various diameter two properties.
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Nygaard, Olav Kristian & Vellene, Jens
(2016).
Ord frå Vegusdalsdialekten, del 4.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
s. 103–104.
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Nygaard, Olav Kristian
(2016).
Vegusdal kyrkje 150 år i 2017.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
s. 55–56.
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Abrahamsen, Trond Arnold; Langemets, Johann; Lima, Vegard & Nygaard, Olav Kristian
(2015).
Correction to the paper On thickness and thinness in Banach spaces, Houston J. Math., 41 (2015), no. 1, 97-111.
Houston Journal of Mathematics.
ISSN 0362-1588.
41(4),
s. 1359–1360.
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Nygaard, Olav Kristian & Vellene, Jens
(2014).
Ord frå Vegusdalsdialekten, del 2.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
33,
s. 49–52.
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Nygaard, Olav Kristian
(2014).
On a problem of M. Valdivia.
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Nygaard, Olav Kristian
(2014).
Ueber Whitney's Dichtheitsindex.
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Nygaard, Olav Kristian & Vellene, Jens
(2013).
Ord frå Vegusdalsdialekten.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
32,
s. 30–35.
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Nygaard, Olav Kristian
(2013).
Heim til Vegusdal.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
32,
s. 10–11.
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Nygaard, Olav Kristian
(2013).
Diameter 2 Eigenschaften in Banach Raeume.
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Nygaard, Olav Kristian
(2013).
The symmetric strong diameter 2 property II.
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Nygaard, Olav Kristian
(2013).
The symmetric strong diameter 2 property I.
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Nygaard, Olav Kristian
(2012).
Diameter 2 properties in Banach spaces.
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Nygaard, Olav Kristian
(2012).
Ei lita gåte frå Mykland - med svar frå Vegusdal og Herefoss.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
31,
s. 74–76.
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Nygaard, Olav Kristian
(2011).
Den vonde dansen.
Årsskrift - Birkenes historielag.
ISSN 0800-3033.
30,
s. 19–22.
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Nygaard, Olav
(2011).
How does the unit ball in a Banach space look?
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Nygaard, Olav Kristian
(2008).
Geometry in the unit ball of the Hardy space H^1.
Vis sammendrag
We describe the extremal structure of the unit ball of H^1 due to Rudin and de Leeuw. On our way we focus on the celebrated factorization theorem of Arne Beurling.
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Nygaard, Olav Kristian
(2005).
Fatte Matte, både som barn og voksen.
Vis sammendrag
Om misforståelser i matematisk tenking. Tanker om en type pedagogikk som kan rette på dette.
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Nygaard, Olav Kristian
(2004).
Sequential properties of the weak topology in a Banach space.
Vis sammendrag
We will prove the Eberlein-Smulian theorem. Along with this we will speak about weak convergence of bounded sequences. Finally we will introduce the concept of "(I)-generating set", "Rainwater set" and "James boundary" and tell some story about these kind of sets, in particular we indicate a proof of James' characterization of reflexive spaces for weakly compactly generated spaces.
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Nygaard, Olav Kristian
(2004).
Some open problems concerning massiveness.
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Nygaard, Olav Kristian
(2003).
On weak integrability.
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Nygaard, Olav
(2000).
Slices in the unit ball of a uniform algebra.
Vis sammendrag
We show that if the unit ball of a uniform algebra is divided into two parts by a hyperplane such that each part contains more than one point, than both parts will necessarily have diameter 2.
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Storesletten, Leiv & Nygaard, Olav Kristian
(2005).
Matematisk Modellering. Andre utgåve.
Universitetet i Agder.
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Nygaard, Olav Kristian
(2001).
Approximation, Boundedness, Surjectivity.