Displaying similar documents to “The Banach space S is complementably minimal and subsequentially prime”

Incomparable, non-isomorphic and minimal Banach spaces

Christian Rosendal (2004)

Fundamenta Mathematicae

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A Banach space contains either a minimal subspace or a continuum of incomparable subspaces. General structure results for analytic equivalence relations are applied in the context of Banach spaces to show that if E₀ does not reduce to isomorphism of the subspaces of a space, in particular, if the subspaces of the space admit a classification up to isomorphism by real numbers, then any subspace with an unconditional basis is isomorphic to its square and hyperplanes, and the unconditional...

Almost π -lattices

C. Jayaram (2004)

Czechoslovak Mathematical Journal

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In this paper we establish some conditions for an almost π -domain to be a π -domain. Next π -lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for π -rings.

On the Properties of the Möbius Function

Magdalena Jastrzebska, Adam Grabowski (2006)

Formalized Mathematics

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We formalized some basic properties of the Möbius function which is defined classically as [...] as e.g., its multiplicativity. To enable smooth reasoning about the sum of this number-theoretic function, we introduced an underlying many-sorted set indexed by the set of natural numbers. Its elements are just values of the Möbius function.The second part of the paper is devoted to the notion of the radical of number, i.e. the product of its all prime factors.The formalization (which is...