Extension of algebra norms and applications

John Lindberg

Displaying similar documents to “Extension of algebra norms and applications”

Best possible bounds of the norms of inverses adjoined to normed algebras

Béla Bollobás (1974)

Studia Mathematica

Similarity:

Subsets of the unit ball the are separated by more than one

Clifford Kottman (1975)

Studia Mathematica

Similarity:

On some geometric properties in C(K,X) and C(K,X)*.

Antonio Aizpuru (1994)

Collectanea Mathematica

Similarity:

On the non-existence of norms for some algebras of functions

Bertram Yood (1994)

Studia Mathematica

Similarity:

Let C(Ω) be the algebra of all complex-valued continuous functions on a topological space Ω where C(Ω) contains unbounded functions. First it is shown that C(Ω) cannot have a Banach algebra norm. Then it is shown that, for certain Ω, C(Ω) cannot possess an (incomplete) normed algebra norm. In particular, this is so for $Ω = ℝ^{n}$ where ℝ is the reals.

On decomposition of a commutative p-normed algebra into a direct sum of ideals

Wiesław Żelazko (1963)

Colloquium Mathematicae

Similarity:

On a question of A. Wilansky in normed algebras

A. Beddaa, M. Oudadess (1989)

Studia Mathematica

Similarity:

Solidity in sequence spaces.

I. J. Maddox (1991)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

Relations are established between several notions of solidity in vector-valued sequence spaces, and a generalized Köthe-Toeplitz dual space is introduced in the setting of a Banach algebra.

A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function

Alexander Pruss (1995)

Studia Mathematica

Similarity:

Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.

Bidual Spaces and Reflexivity of Real Normed Spaces

Keiko Narita, Noboru Endou, Yasunari Shidama (2014)

Formalized Mathematics

Similarity:

In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we proved some corollaries applying Hahn-Banach theorem and showed related theorems. In the second section, we proved the norm of dual spaces and defined the natural mapping, from real normed spaces to bidual spaces. We also proved some properties of this mapping. Next, we defined real normed space of R, real number spaces as real normed spaces and proved related theorems. We can regard linear...