Extension of algebra norms and applications
John Lindberg (1971)
Studia Mathematica
Similarity:
Displaying similar documents to “Best possible bounds of the norms of inverses adjoined to normed algebras”
Extension of algebra norms and applications
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.
Subsets of the unit ball the are separated by more than one
Clifford Kottman (1975)
Studia Mathematica
Similarity:
Algebras under a minimal norm
E. Strzelecki (1963)
Colloquium Mathematicae
Similarity:
On the locally bounded and m-convex topological algebras
W. Żelazko (1960)
Studia Mathematica
Similarity:
On some geometric properties in C(K,X) and C(K,X)*.
Antonio Aizpuru (1994)
Collectanea Mathematica
Similarity:
On decomposition of a commutative p-normed algebra into a direct sum of ideals
Wiesław Żelazko (1963)
Colloquium Mathematicae
Similarity:
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.
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 where ℝ is the reals.