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We study linear operators from a non-locally convex Orlicz space $L^{Φ}$ to a Banach space $(X, | | \cdot | |_{X})$ . Recall that a linear operator $T : L^{Φ} \to X$ is said to be σ-smooth whenever $u ₙ ⟶^{(o)} 0$ in $L^{Φ}$ implies ${| | T (u ₙ) | |}_{X} \to 0$ . It is shown that every σ-smooth operator $T : L^{Φ} \to X$ factors through the inclusion map $j : L^{Φ} \to L^{Φ ̅}$ , where Φ̅ denotes the convex minorant of Φ. We obtain the Bochner integral representation of σ-smooth operators $T : L^{Φ} \to X$ . This extends some earlier results of J. J. Uhl concerning the Bochner integral representation of linear operators defined on a locally convex...

Linear positive operators and their applications to differential equations

Ivana Horová (1984)

Archivum Mathematicum

Linear preservers on ℬ(X)

Matej Brešar, Peter Šemrl (1997)

Banach Center Publications

Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry

Stubbe, Joachim (1989)

Portugaliae mathematica

Linearization and compactness

Jesús Ángel Jaramillo, Ángeles Prieto, Ignacio Zalduendo (2009)

Studia Mathematica

This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping,...

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Linear Operators and Vector Measures. II.

Linear operators as measure preserving transformations

Linear operators in the space of regulated functions

Linear operators on $c_{x}$

Linear operators on $C_{X} (Ω)$ for $Ω$ dispersed

Linear operators on $L^{1 / α} (0, \infty)$ and Lorentz spaces: The Krasnosel’skii-Zabrieko characteristic sets

Linear operators on non-locally convex Orlicz spaces

Linear positive operators and their applications to differential equations

Linear preservers on ℬ(X)

Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry

Linearization and compactness

Linearization of regular matrix polynomials.

Linearized stability for hyperbolic evolution equations with semilinear boundary conditions.

Linearized stability results in continuous interpolation spaces

Lineární algebra ukrytá v internetovém vyhledávači Google

Lineární operátory. II

Linear-topological classification of matroid C*-algebras.

Linksdefinite singuläre kanonische Eigenwertprobleme. I.

Linksdefinite singuläre kanonische Eigenwertprobleme. II.

L'involutivité des caractéristiques des systèmes différentiels et microdifférentiels

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