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We study strongly exposed points in general Köthe-Bochner Banach spaces X(E). We first give a characterization of strongly exposed points of the set of X-selections of a measurable multifunction Γ. We then apply this result to the study of strongly exposed points of the closed unit ball of X(E). Precisely we show that if an element f is a strongly exposed point of $B_{X (E)}$ , then |f| is a strongly exposed point of $B_{X}$ and f(ω)/∥ f(ω)∥ is a strongly exposed point of $B_{E}$ for μ-almost all ω ∈ S(f).

Characterization of the Besov-Lipschitz and Triebel-Lizorkin Spaces the Case q < 1.

H-Q. Bui, M. Paluszynski, M. Taibleson (1997)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse

José Bonet, Reinhold Meise (2008)

Studia Mathematica

Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space $_{(ω)} (ℝ)$ of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on $_{(ω)} [a, b]$ for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on $_{(ω)} (ℝ)$ .

Characterization of the Speed of Convergence of the Trapezoidal Rule.

G. Schmeisser, Qazi I. Rahman (1990)

Numerische Mathematik

Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions

Mohamed Morsli, Mannal Smaali (2007)

Commentationes Mathematicae Universitatis Carolinae

We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.

Characterization of the $ω$ hypoelliptic convolution operators on ultradistributions.

Bonet, J., Fernández, C., Meise, R. (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

Characterization of traces of the weighted Sobolev space $W^{1, p} (Ω, d_{M}^{ϵ})$ on $M$

Aleš Nekvinda (1993)

Czechoslovak Mathematical Journal

Characterization of Trudinger's inequality.

Ozawa, T. (1997)

Journal of Inequalities and Applications [electronic only]

Characterizations of Besov spaces via variable differences

Michael H. G. Geisler, Hans Triebel (1984)

Commentationes Mathematicae Universitatis Carolinae

Characterizations of some monotonicity properties of a lattice norm in Musielak-Orlicz spaces

Wiesław Kurc (1989)

Acta Universitatis Carolinae. Mathematica et Physica

Characterizations of spreading models of $l^{1}$

Persephone Kiriakouli (2000)

Commentationes Mathematicae Universitatis Carolinae

Rosenthal in [11] proved that if $(f_{k})$ is a uniformly bounded sequence of real-valued functions which has no pointwise converging subsequence then $(f_{k})$ has a subsequence which is equivalent to the unit basis of $l^{1}$ in the supremum norm. Kechris and Louveau in [6] classified the pointwise convergent sequences of continuous real-valued functions, which are defined on a compact metric space, by the aid of a countable ordinal index “ $γ$ ”. In this paper we prove some local analogues of the above Rosenthal ’s theorem...

Characterizations of the Completely Regular Topological Spaces X for Which C (X) is a Dual Ordered Vector Space.

Hong-Yun Xiong (1983)

Mathematische Zeitschrift

Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections

M. Wojciechowski (1993)

Studia Mathematica

We characterize those anisotropic Sobolev spaces on tori in the $L^{1}$ and uniform norms for which the idempotent multipliers have a description in terms of the coset ring of the dual group. These results are deduced from more general theorems concerning invariant projections on vector-valued function spaces on tori. This paper is a continuation of the author’s earlier paper [W].

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