On the lattice structure of invariant functions for Markov operators on
Displaying 21 – 40 of 45
On the Leontief's problem in Banach lattices
Baltasar Rodríguez-Salinas (1998)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
On the modulus of measures with values in topological Riesz spaces.
Lech Drewnowski, Witold Wnuk (2002)
Revista Matemática Complutense
The paper is devoted to a study of some aspects of the theory of (topological) Riesz space valued measures. The main topics considered are the following. First, the problem of existence (and, particularly, the so-called proper existence) of the modulus of an order bounded measure, and its relation to a similar problem for the induced integral operator. Second, the question of how properties of such a measure like countable additivity, exhaustivity or so-called absolute exhaustivity, or the properties...
On the modulus of one-parameter semigroups.
G. Greiner, I. Becker (1986/1987)
Semigroup forum
On the o-Spektrum of Regular Operators and the Spectrum of Measures.
Wolfgang Ardendt (1981)
Mathematische Zeitschrift
On the positive projection constant
Carsten Schütt (1984)
Studia Mathematica
On the positivity of the unit element in a normed lattice ordered algebra
S. Bernau, C. Huijsmans (1990)
Studia Mathematica
On the Representation of Banach Lattices by Continuous Numerical Functions.
Helmut H. Schaefer (1972)
Mathematische Zeitschrift
On the Structure of Non-Weakly Compact Operators on Banach Lattices.
N. Ghoussoub, T. Figiel, W.B. Johnson (1981)
Mathematische Annalen
On the sublinear operators factoring through .
Mezrag, Lahcène, Tiaiba, Abdelmoumene (2004)
International Journal of Mathematics and Mathematical Sciences
On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice
Inomjon Ganiev, Farrukh Mukhamedov (2006)
Commentationes Mathematicae Universitatis Carolinae
In the present paper we prove the “zero-two” law for positive contractions in the Banach-Kantorovich lattices , constructed by a measure with values in the ring of all measurable functions.
On Theorems of de Pagter and Ando-Krieger.
H.H. Schaefer (1986)
Mathematische Zeitschrift
On unconditional convergence of series in Banach lattices
Pavel Kostyrko (1985)
Mathematica Slovaca
On uniformly nonsquare points and nonsquare points of Orlicz spaces
Ting Fu Wang, Zhong Rui Shi, Yanhong Li (1992)
Commentationes Mathematicae Universitatis Carolinae
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
Once more on positive commutators
Roman Drnovšek (2012)
Studia Mathematica
Let A and B be bounded operators on a Banach lattice E such that the commutator C = AB - BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of closed ideals of E. This answers an open question posed by Bračič et al. [Positivity 14 (2010)], where the study of positive commutators of positive operators was initiated.
Operator ideal properties of vector measures with finite variation
Susumu Okada, Werner J. Ricker, Luis Rodríguez-Piazza (2011)
Studia Mathematica
Given a vector measure m with values in a Banach space X, a desirable property (when available) of the associated Banach function space L¹(m) of all m-integrable functions is that L¹(m) = L¹(|m|), where |m| is the [0,∞]-valued variation measure of m. Closely connected to m is its X-valued integration map Iₘ: f ↦ ∫f dm for f ∈ L¹(m). Many traditional operators from analysis arise as integration maps in this way. A detailed study is made of the connection between the property L¹(m) = L¹(|m|) and the...
Operators Factoring through Banach Lattices and Ideal Norms
Reisner, Shlomo (1995)
Serdica Mathematical Journal
A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.
Operators into L1 of a vector measure and applications to Banach lattices.
Guillermo P. Curbera (1992)
Mathematische Annalen
Order bounded operators and tensor products of Banach lattices.
N.J. Nielsen, S. Heinrich (1981)
Mathematica Scandinavica
Order boundedness and weak compactness of the set of quasi-measure extensions of a quasi-measure
Zbigniew Lipecki (2015)
Commentationes Mathematicae Universitatis Carolinae
Let and be algebras of subsets of a set with , and denote by the set of all quasi-measure extensions of a given quasi-measure on to . We give some criteria for order boundedness of in , in the general case as well as for atomic . Order boundedness implies weak compactness of . We show that the converse implication holds under some assumptions on , and or alone, but not in general.