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Topological algebras with an orthogonal total sequence

100%

Render H.

Colloquium Mathematicum

1997

tom 72

nr 2

215-222

The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the "coefficient functionals". Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence $(x_n)_{n∈ℕ}$ satisfying $x^2_n=x_n$ and $x_n x_{n+1} = x_{n+1}$ for all n ∈ ℕ.

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Multipliers of topological algebras

77%

Husain T.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction.............................................................................................5 2. Multipliers of topological algebras...........................................................6 3. Multipliers of topological algebras with orthogonal bases......................11 4. π-Algebras............................................................................................18 5. Orthogonal decomposition of topological algebras................................21 6. Π-Algebras associated with orthogonal decompositions........................24 7. Perturbation of orthogonal bases..........................................................27 8. Banach algebras with unconditional bases and multipliers....................31 References................................................................................................36

Ograniczanie wyników

1 Colloquium Mathematicum

1 Husain T.

1 Render H.

1 1997

1 1989

Wyniki wyszukiwania

Topological algebras with an orthogonal total sequence

Multipliers of topological algebras