Results 161 to 170 of about 6,795 (190)
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On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm

Canadian Journal of Mathematics, 2003
AbstractLet lΦ and LΦ(Ω) be the Orlicz sequence space and function space generated by N-function Φ(u) with Orlicz norm. We give equivalent expressions for the nonsquare constants CJ(lΦ), CJ(LΦ(Ω)) in sense of James and CS(lΦ), CS(LΦ(Ω)) in sense of Schäffer.
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Strongly Extreme Points in Orlicz–Lorentz Function Space Equipped with the Orlicz Norm

The Journal of Geometric Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Wang, Yunan Cui
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-convexity of Orlicz–Bochner function spaces endowed with the Orlicz norm

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Shang, Shaoqiang   +2 more
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Monotonicity in orlicz-lorentz sequence spaces equipped with the orlicz norm

Acta Mathematica Scientia, 2016
Abstract In Orlicz-Lorentz sequence space λ°ϕ, w with the Orlicz norm, uniform monotonic ity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ°ϕ, w are discussed.
Wanzhong GONG, Daoxiang ZHANG
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Points of monotonicity in Musielak--Orlicz function spaces endowed with the Orlicz norm

Publicationes Mathematicae Debrecen, 2002
Let \((X,\|\cdot\|,\leq)\) be a Banach lattice, let \(X^+\) denote the positive cone in \(X\) and let \(S(X)\) be the unit sphere of \(X\). A point \(x\in S(X^+)\) is said to be upper (lower) monotone if for any \(y\in X^+\backslash\{0\},\) (any \(y\in X^+\backslash \{0\}, y\leq x)\) there holds \(\|x+y\|>1,(\|x-y\|
Hudzik, H., Liu, Xin Bo, Wang, T.
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ESTIMATION OF NORMS IN ORLICZ SPACES

2023
Source: Masters Abstracts International, Volume: 06-04, page: 1410.
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Some Orlicz-norm inequalities for martingales

Statistics & Probability Letters, 2009
In this paper, we show some orlicz-norm inequalities for martingales, which are Φ-extensions of some classical inequalities in martingale Hp theory. As applications, a new simple proof of Burkholder–Davis–Gundy inequality in Orlicz-norm form is shown, and the equivalence between Orlicz martingale spaces PΦ and QΦ is obtained.
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Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020
Canyi Lu, Jiashi Feng, Yudong Chen
exaly  

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