Displaying similar documents to “Algebraic generation of B(X) by two subalgebras with square zero”

On strong generation of B(ℋ) by two commutative C*-algebras

R. Berntzen, A. Sołtysiak (1997)

Studia Mathematica

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The algebra B(ℋ) of all bounded operators on a Hilbert space ℋ is generated in the strong operator topology by a single one-dimensional projection and a family of commuting unitary operators with cardinality not exceeding dim ℋ. This answers Problem 8 posed by W. Żelazko in [6].

Complemented subspaces of sums and products of copies of L[0, 1].

A. A. Albanese, V. B. Moscatelli (1996)

Revista Matemática de la Universidad Complutense de Madrid

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We prove that the direct sum and the product of countably many copies of L[0, 1] are primary locally convex spaces. We also give some related results.