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Displaying similar documents to “On the existence of exactly one solution of integral equations in the space L P with a mixed norm”

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We study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis ( e k ) is said to be subsequentially minimal if for every normalized block basis ( x k ) of ( e k ) , there is a further block basis ( y k ) of ( x k ) such that ( y k ) is equivalent to a subsequence of ( e k ) . Sufficient conditions are given for a partly modified mixed Tsirelson space to be subsequentially minimal, and connections with Bourgain’s ℓ¹-index are established. It is also shown that a large class of...

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