Banach Algebra of Continuous Functionals and the Space of Real-Valued Continuous Functionals with Bounded Support

• Autorzy: Katuhiko Kanazashi , Noboru Endou , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

In this article, we give a definition of a functional space which is constructed from all continuous functions defined on a compact topological space. We prove that this functional space is a Banach algebra. Next, we give a definition of a function space which is constructed from all real-valued continuous functions with bounded support. We prove that this function space is a real normed space.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2010
• Tom: 18
• Numer: 1
• Strony: 11-16

Daty

wydano

2010-01-01

online

2011-01-05

Twórcy

autor

Katuhiko Kanazashi

• Shizuoka High School, Japan

autor

Noboru Endou

• Gifu National College of Technology, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-010-0002-1