Positive Operators

By Charalambos D. Aliprantis, O. Burkinshaw. 2006

1,726 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c878708039d14ef1f4d1574d51da69d56c7d1aa0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

Citations in the corpus

Some characterizations of almost Dunford–Pettis operators and applications (2011, background): “The first one was established by Dodds (see [1], Theorem 18.”
A Unified Framework for Utility Maximization Problems: an Orlicz space approach (2007, background): “, [1]), we know that (Lû)∗, the norm dual of L, admits the following decomposition: (Lû)∗ = A ⊕ A, where A is the band of order-continuous linear functionals and A is the band of those singular ones which are lattice orthogonal to the functionals in A.”
On the dual positive Schur property in Banach lattices (2013, background): “Our terminology and notations are standard–we follow by [2,3,23,38].”
Polynomials on Banach lattices and positive tensor products (2012, background): “For unexplained terminology from the theory of Banach lattices we refer to [2] and [19].”
AMENABILITY OF BANACH ALGEBRAS (2012, background): “For a ∈ A, the mapping Ta from A∗ to itself is weakly-weakly continuous, and so Ta is norm-norm continuous [1].”
Vector Lattice Powers: f-Algebras and Functional Calculus (2006, background): “More information on f -algebras can be found in Birkhoff and Pierce (1956) and Aliprantis and Burkinshaw (1985).”
Spaces of p-integrable Functions with Respect to a Vector Measure (2006, background): “Our basic references for Banach lattices are Aliprantis-Burkinshaw [1, 2], Lindenstrauss-Tzafriri [16] and Meyer-Nieberg [17].”
Context-theoretic Semantics for Natural Language: an Overview (2009, background): “In fact it is a vector lattice or Riesz space (Aliprantis and Burkinshaw, 1985) since it satisfies the following relationships”
Almost Limited Sets in Banach Lattices (2013, methodology): “For the theory of Banach lattices and operators, we refer the reader to the monographs [2, 12].”