Evenly positive definite function of Hilbert space and some algebraic relationship
نویسندگان
چکیده
منابع مشابه
Positive Definite Functions on Hilbert Space
is always non-negative, for any positive integer n and all points x1, . . . , xn in H is said to be positive definite on Hilbert space. In Schoenberg (1938), it was shown that a function is positive definite on Hilbert space if and only if it is completely monotonic, and this characterization is of central importance in the theory of radial basis functions and learning theory. In this paper, we...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولHulls And Centerpoints In Positive Definite Space ∗
In this paper, we present algorithms for computing approximate hulls and centerpoints for collections of matrices in positive definite space. There are many applications where the data under consideration, rather than being points in a Euclidean space, are positive definite (p.d.) matrices. These applications include diffusion tensor imaging in the brain, elasticity analysis in mechanical engin...
متن کاملPositive definite solutions of some matrix equations
In this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others. © 2008 Elsevier Inc. All rights reserved. AMS classification: 15A24; 15A48; 42A82; 47A62
متن کاملSome numerical radius inequalities with positive definite functions
Using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. Also, some open problems are stated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Matematychni Studii
سال: 2021
ISSN: 2411-0620,1027-4634
DOI: 10.30970/ms.55.1.85-93