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, 2003AbstractLet 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, 2023zbMATH 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, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shang, Shaoqiang +2 more
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Monotonicity in orlicz-lorentz sequence spaces equipped with the orlicz norm
Acta Mathematica Scientia, 2016Abstract 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, 2002Let \((X,\|\cdot\|,\leq)\) 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
2023Source: Masters Abstracts International, Volume: 06-04, page: 1410.
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Some Orlicz-norm inequalities for martingales
Statistics & Probability Letters, 2009In 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, 2020Canyi Lu, Jiashi Feng, Yudong Chen
exaly

