Functional SpaceC(ω),C₀(ω)

• Autorzy: Katuhiko Kanazashi , Hiroyuki Okazaki , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

In this article, first we give a definition of a functional space which is constructed from all complex-valued 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 complex-valued continuous functions with bounded support. We also prove that this function space is a complex normed space.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2012
• Tom: 20
• Numer: 1
• Strony: 15-22

Daty

wydano

2012-01-01

online

2012-09-12

Twórcy

autor

Katuhiko Kanazashi

• Shizuoka City, Japan

autor

Hiroyuki Okazaki

• Shinshu University, Nagano, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

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Identyfikatory

DOI

10.2478/v10037-012-0003-3