Results 1 to 10 of about 167 (40)
On Hahn-Banach theorem and some of its applications
Open Mathematics, 2022 First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of convex operators on a convex cone.
Olteanu Octav
doaj +1 more source
Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021 ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
wiley +1 more source
On the Random Conjugate Spaces of a Random Locally Convex Module [PDF]
, 1998 Theoretically speaking, there are four kinds of possibilities to define the random conjugate space of a random locally convex module. The purpose of this paper is to prove that among the four kinds there are only two which are universally suitable for ...
Tiexin, Guo, Shien, Zhao
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Extension and splitting theorems for Fréchet spaces of type 2 [PDF]
, 1999 Sin ...
Defant, A., Domanski, P., Mastylo, M.
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On the extension of linear operators
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 10, Page 621-623, 2001., 2001 It is well known that the Hahn‐Banach theorem, that is, the extension theorem for bounded linear functionals, is not true in general for bounded linear operators. A characterization of spaces for which it is true was published by Kakutani in 1940. We summarize Kakutani′s work and we give an example which demonstrates that his characterization is not ...
John J. Saccoman
wiley +1 more source
On the extension of positive linear functionals
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 31-35, 2000., 2000 A necessary and sufficient condition to extend a continuous linear real functionals which is positive with respect to a semi‐group defined on a subspace of a linear space is discussed in this paper. The case of a closed subspace of a Banach space is also discussed.
Ergashboy Muhamadiev, Adel T. Diab
wiley +1 more source
Support theorems in abstract settings [PDF]
, 2017 In this paper we establish a general framework in which the verification of support theorems for generalized convex functions acting between an algebraic structure and an ordered algebraic structure is still possible.
Olbryś, Andrzej, Páles, Zsolt
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A characterization of positive normal functionals on the full operator algebra [PDF]
, 2017 Using the recent theory of Krein--von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full operator algebra is normal.
Sebestyén, Zoltán +2 more
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Measuring risk with multiple eligible assets [PDF]
, 2014 The risk of financial positions is measured by the minimum amount of capital to raise and invest in eligible portfolios of traded assets in order to meet a prescribed acceptability constraint.
Farkas, Walter +2 more
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The Similarity Degree of Some C*-algebras
, 2012 We define the class of weakly approximately divisible unital C*-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any C*-algebra, and quotients. A nuclear C*-algebra is weakly approximately divisible if
Hadwin, Don, Li, Weihua
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