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A note on Alexander's theorem.

Le Mau Hai, Nguyen Van Khue, Sičiak, Józef (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

A note on almost strong liftings

C. Ionescu-Tulcea, R. Maher (1971)

Annales de l'institut Fourier

Let X be a locally compact space. A lifting ρ of M R ( X , μ ) where μ is a positive measure on X , is almost strong if for each bounded, continuous function f , ρ ( f ) and f coincide locally almost everywhere. We prove here that the set of all measures μ on X such that there exists an almost strong lifting of M R ( X , | μ | ) is a band.

A note on Banach spaces with 1 -saturated duals

Denny H. Leung (1996)

Commentationes Mathematicae Universitatis Carolinae

It is shown that there exists a Banach space with an unconditional basis which is not c 0 -saturated, but whose dual is 1 -saturated.

A note on certain partial sum operators

Marek Bożejko, Gero Fendler (2006)

Banach Center Publications

We show that for the t-deformed semicircle measure, where 1/2 < t ≤ 1, the expansions of L p functions with respect to the associated orthonormal polynomials converge in norm when 3/2 < p < 3 and do not converge when 1 ≤ p < 3/2 or 3 < p. From this we conclude that natural expansions in the non-commutative L p spaces of free group factors and of free commutation relations do not converge for 1 ≤ p < 3/2 or 3 < p.

A note on coalgebra gauge theory

Tomasz Brzeziński (1997)

Banach Center Publications

A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.

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