Results 221 to 230 of about 318,353 (267)
Some of the next articles are maybe not open access.
Bulletin of the Australian Mathematical Society, 2019
We show that if $(X,\Vert \cdot \Vert )$ is a Banach space that admits an equivalent locally uniformly rotund norm and the set of all norm-attaining functionals is residual then the dual norm $\Vert \cdot \Vert ^{\ast }$ on $X^{\ast }$ is Fréchet at
Moors, Warren B., Tan, Neşet Özkan
openaire +2 more sources
We show that if $(X,\Vert \cdot \Vert )$ is a Banach space that admits an equivalent locally uniformly rotund norm and the set of all norm-attaining functionals is residual then the dual norm $\Vert \cdot \Vert ^{\ast }$ on $X^{\ast }$ is Fréchet at
Moors, Warren B., Tan, Neşet Özkan
openaire +2 more sources
, 2001 The authors prove that the normed vector space \(BV\) of games with bounded variation on a field \(\mathcal C\) is the topological dual of the linear space of games \(X\) with finite support endowed with an adequate norm. In fact, this norm is the restriction of the dual norm on \(BV^{\prime}\) when \(X\) is seen as a subspace of \(BV^{\prime}\).
Fabio Maccheroni, William H. Ruckle
openaire +1 more source
1995
Linear functionals and the dual space of a vector space are defined and characterized. Every vector space is shown to be canonically embeddable in its second dual. Maximal subspaces are characterized as kernels of nontrivial linear functionals. The trace of a square matrix is studied in detail. Over a field of characteristic 0, a square matrix is shown
openaire +1 more source
Linear functionals and the dual space of a vector space are defined and characterized. Every vector space is shown to be canonically embeddable in its second dual. Maximal subspaces are characterized as kernels of nontrivial linear functionals. The trace of a square matrix is studied in detail. Over a field of characteristic 0, a square matrix is shown
openaire +1 more source
On thef-dual of sequence spaces
Archiv der Mathematik, 1992See the preview in Zbl 0728.46007.
openaire +2 more sources
Dual space latent representation learning for unsupervised feature selection
Pattern Recognition, 2021Ronghua Shang +2 more
exaly
On the Order Dual of a Riesz Space
2003The order-bounded linear functionals on a Riesz space are investigated constructively. Two classically equivalent notions of positivity for linear functionals, and their relation to the strong extensionality, are examined. A necessary and sufficient condition for the existence of the supremum of two elements of the order dual of a Riesz space with unit
openaire +1 more source
On the Dual of Hornich's Space
Proceedings of the American Mathematical Society, 1969openaire +1 more source
Dual-use conundrum: Towards the weaponization of outer space?
Acta Astronautica, 2021Jakub Prazak
exaly