Results 11 to 20 of about 4,651 (183)

Feature level quantitative ultrasound and CT information fusion to predict the outcome of head & neck cancer radiotherapy treatment: Enhanced principal component analysis. [PDF]

Med Phys
Abstract Background Radiation therapy is a common treatment for head and neck (H&N) cancers. Radiomic features, which are determined from biomedical imaging, can be effective biomarkers used to assess tumor heterogeneity and have been used to predict response to treatment.
Moslemi A, Safakish A, Sannachi L, Alberico D, Czarnota GJ.   +4 more
europepmc   +2 more sources

A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces

Journal of New Theory, 2023
This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
doaj   +1 more source

The fixed point property of quasi-point-separable topological vector spaces [PDF]

Journal of Applied and Numerical Optimization, 2022
In this paper, we introduce the concept of quasi-point-separable topological vector spaces, which has the following important properties: 1. In general, the conditions for a topological vector space to be quasi-pointseparable is not very difficult to ...
Jinlu Li
semanticscholar   +1 more source

Compressible Topological Vector Spaces [PDF]

arXiv.org, 2022
The optimum subspace decomposition of the infinite-dimensional compressible random processes in the locally convex Hausdorff space has been propose and its dimension has been measured.
Mohammadreza Robaei, R. Akl
semanticscholar   +1 more source

Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces

Axioms, 2022
We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
doaj   +1 more source

Study of Duality of Locally Convex Space

International Journal of Scientific Research in Science and Technology, 2022
In this paper, we studied about the duality of locally convex space. The key to most of the results in topological vector space theory is to exploit duality - the relationship between on l.c.s. X and its dual X^*.
Amaresh Kumar, Dr. Md. Mushtaque Khan
semanticscholar   +1 more source

An ergodic measure on a locally convex topological vector space

, 1981
Hiroshi Satō
openalex   +2 more sources

Unitary representability of free abelian topological groups

Applied General Topology, 2008
For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
doaj   +1 more source

On Sub Convexlike Optimization Problems

Mathematics, 2023
In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and ...
Renying Zeng
doaj   +1 more source

Barrelled Weakly Köthe–Orlicz Summable Sequence Spaces

Mathematics, 2023
Let E be a Hausdorff locally convex space. We investigate the space Λφ[E] of weakly Köthe–Orlicz summable sequences in E with respect to an Orlicz function φ and a perfect sequence space Λ.
Issam Aboutaib, Janusz Brzdęk, Lahbib Oubbi   +2 more
doaj   +1 more source