Displaying similar documents to “Continuity of a homomorphism on commutative subalgebras is not sufficient for continuity”

Quasicompact endomorphisms of commutative semiprime Banach algebras

Joel F. Feinstein, Herbert Kamowitz (2010)

Banach Center Publications

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This paper is a continuation of our study of compact, power compact, Riesz, and quasicompact endomorphisms of commutative Banach algebras. Previously it has been shown that if B is a unital commutative semisimple Banach algebra with connected character space, and T is a unital endomorphism of B, then T is quasicompact if and only if the operators Tⁿ converge in operator norm to a rank-one unital endomorphism of B. In this note the discussion is extended in two ways: we discuss endomorphisms...

An example of a non-topologizable algebra

R. Frankiewicz, G. Plebanek (1995)

Studia Mathematica

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We present an example of an algebra that is generated by ω 1 elements, and cannot be made a topological algebra. This answers a problem posed by W. Żelazko.