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Displaying 81 – 100 of 248

Integrals and Banach spaces for finite order distributions

Erik Talvila (2012)

Czechoslovak Mathematical Journal

Let $ℬ_{c}$ denote the real-valued functions continuous on the extended real line and vanishing at $- \infty$ . Let $ℬ_{r}$ denote the functions that are left continuous, have a right limit at each point and vanish at $- \infty$ . Define $𝒜_{c}^{n}$ to be the space of tempered distributions that are the $n$ th distributional derivative of a unique function in $ℬ_{c}$ . Similarly with $𝒜_{r}^{n}$ from $ℬ_{r}$ . A type of integral is defined on distributions in $𝒜_{c}^{n}$ and $𝒜_{r}^{n}$ . The multipliers are iterated integrals of functions of bounded variation. For each $n \in ℕ$ , the spaces...

Interpolation of Banach lattices

Per Nilsson (1985)

Studia Mathematica

Interpolation of bilinear operators between Banach function spaces.

Mieczyslaw Mastylo, Dariusz Staszak (1999)

Collectanea Mathematica

Interpolation of Operators on Decreasing Functions.

John Cerda, Joaquim Martin (1996)

Mathematica Scandinavica

Interpolation on families of characteristic functions

Michael Cwikel, Archil Gulisashvili (2000)

Studia Mathematica

We study a problem of interpolating a linear operator which is bounded on some family of characteristic functions. A new example is given of a Banach couple of function spaces for which such interpolation is possible. This couple is of the form $\bar{Φ} = (B, L^{\infty})$ where B is an arbitrary Banach lattice of measurable functions on a σ-finite nonatomic measure space (Ω,Σ,μ). We also give an equivalent expression for the norm of a function ⨍ in the real interpolation space ${(B, L^{\infty})}_{θ, p}$ in terms of the characteristic functions of...

Inverses and regularity of disjointness preserving operators [Book]

Y. A. Abramovich, A. K. Kitover (2005)

Irreducible Compact Operators.

Ben de Pagter (1986)

Mathematische Zeitschrift

Isométries positives et propriétés ergodiques de quelques espaces de Banach

B. Bru, H. Heinich (1981)

Annales de l'I.H.P. Probabilités et statistiques

Kato's equality and spectral decomposititon for positive C0-Groups.

Wolfgang Arendt (1982)

Manuscripta mathematica

La méthode d'interpolation complexe : applications aux treillis de Banach

G. Pisier (1978/1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

La structure des sous-espaces de treillis [Book]

José L. Marcolino Nhani (2001)

Les topologies sygma-Lebesgue sur C(X).

Belmesnaoui Aqzzouz, Redouane Nouira (2004)

Extracta Mathematicae

We prove that if X is a compact topological space which contains a nontrivial metrizable connected closed subset, then the vector lattice C(X) does not carry any sygma-Lebesgue topology.

Mean Ergodicity of Power-Bounded Operators in Countably Order Complete Banach Lattices.

Radu Zaharopol (1986)

Mathematische Zeitschrift

Means with values in a Banach lattice.

Chivukula, R.Rao, Sarma, I.Ramabhadra (1987)

International Journal of Mathematics and Mathematical Sciences

Measures of noncompactness and normal structure in Banach spaces

J. García-Falset, A. Jiménez-Melado, E. Lloréns-Fuster (1994)

Studia Mathematica

Sufficient conditions for normal structure of a Banach space are given. One of them implies reflexivity for Banach spaces with an unconditional basis, and also for Banach lattices.

M-ideals of compact operators in classical Banach spaces.

Asvald Lima (1979)

Mathematica Scandinavica

Moduli and characteristics of monotonicity in some Banach lattices.

Foralewski, Paweł, Hudzik, Henryk, Kaczmarek, Radosław, Krbec, Miroslav (2010)

Fixed Point Theory and Applications [electronic only]

Modulus of dentability in $L ¹ + L^{\infty}$

Adam Bohonos, Ryszard Płuciennik (2008)

Banach Center Publications

We introduce the notion of the modulus of dentability defined for any point of the unit sphere S(X) of a Banach space X. We calculate effectively this modulus for denting points of the unit ball of the classical interpolation space $L ¹ + L^{\infty} .$ Moreover, a criterion for denting points of the unit ball in this space is given. We also show that none of denting points of the unit ball of $L ¹ + L^{\infty}$ is a LUR-point. Consequently, the set of LUR-points of the unit ball of $L ¹ + L^{\infty}$ is empty.

Monotone substochastic operators and a new Calderón couple

Karol Leśnik (2015)

Studia Mathematica

An important result on submajorization, which goes back to Hardy, Littlewood and Pólya, states that b ⪯ a if and only if there is a doubly stochastic matrix A such that b = Aa. We prove that under monotonicity assumptions on the vectors a and b the matrix A may be chosen monotone. This result is then applied to show that $(\tilde{L^{p}}, L^{\infty})$ is a Calderón couple for 1 ≤ p < ∞, where $\tilde{L^{p}}$ is the Köthe dual of the Cesàro space $C e s_{p^{'}}$ (or equivalently the down space $L_{↓}^{p^{'}}$ ). In particular, $(\tilde{L ¹}, L^{\infty})$ is a Calderón couple, which gives a...

M-weak and L-weak compactness of b-weakly compact operators

J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)

Commentationes Mathematicae Universitatis Carolinae

We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).

Currently displaying 81 – 100 of 248

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