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Positivity and positive definiteness in generalized function algebras

✍ Scribed by M. Oberguggenberger; S. Pilipović; D. Scarpalézos


Book ID
108175634
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
182 KB
Volume
328
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


Positive Functionals on General Operator
✍ V. Lomonosov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 57 KB

We show that any weakly closed algebra of bounded operators acting on a Banach space and different from the algebra of all bounded operators admits positive vector-functionals continuous in the essential operator norm. ᮊ 2000

Strictly Positive Definite Functions
✍ Kuei-Fang Chang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 490 KB

We give a complete characterization of the strictly positive definite functions on the real line. By Bochner's theorem, this is equivalent to proving that if the separated sequence of real numbers [a n ] describes the points of discontinuity of a distribution function, there exists an almost periodi

Positive semi-definiteness in a group al
✍ Tian-Gang Lei 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 88 KB

Some necessary and sucient conditions for an element in a group algebra to be positive semi-de®nite are given with an application to symmetry operators.