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pro vyhledávání: '"Tokarev, Eugene"'
Autor:
Tokarev, Eugene
In the paper is considered two problems on extension of operators whose range space for the first problem (or domain space for the second one) belongs to the fixed class of finite equivalence, which is generated by a given Banach space $X$. Both prob
Externí odkaz:
http://arxiv.org/abs/math/0211341
Autor:
Tokarev, Eugene
In the paper is considered two problems on extension of operators whose range space for the first problem (or domain space for the second one) belongs to the fixed class of finite equivalence, which is generated by a given Banach space $X$. Both prob
Externí odkaz:
http://arxiv.org/abs/math/0211299
Autor:
Tokarev, Eugene
Classes of Banach spaces that are finitely, strongly finitely or elementary equivalent are introduced. On sets of these classes topologies are defined in such a way that sets of defined classes become compact totally disconnected topological spaces.
Externí odkaz:
http://arxiv.org/abs/math/0211298
Autor:
Tokarev, Eugene
It is shown that every set I(m) of Banach lattices of measurable functions defined on a measure space (Q,S,m), equipped with a some natural ordering became a modular lattice, which is Dedekind complete provided m is a probability measure. Moreover, s
Externí odkaz:
http://arxiv.org/abs/math/0209322
Autor:
Positselskii, Efim, Tokarev, Eugene
In the article is shown that classes of finite equivalence that are generated by Lebesgue-Riesz spaces Lp have the amalgamation property if and only if p is not equal to an even natural number that is strongly large then 2.
Comment: Latex2e, rev
Comment: Latex2e, rev
Externí odkaz:
http://arxiv.org/abs/math/0206182
Autor:
Tokarev, Eugene
A set of all symmetric Banach function spaces defined on [0,1] is equipped with the partial order by the relation of continuous inclusion. Properties of symmetric spaces, which do not depend of their position in the ordered structure, are studied. Wi
Externí odkaz:
http://arxiv.org/abs/math/0206183
Autor:
Tokarev, Eugene
A Banach space X is said to have the Tsirelson property if it does not contain subspaces that are isomorphic to l_{p}, p in [1,infty) or c_{0}. The article contains a quite simple method to producing Banach spaces with the Tsirelson property.
Co
Co
Externí odkaz:
http://arxiv.org/abs/math/0206181
Autor:
Tokarev, Eugene
A finite-dimensional analogue of the known Gordon-Lewis constant of a Banach space X is introduced; in its definition are used only finite rank operators. It is shown that there exist Banach spaces such that the standard Gordon-Lewis constant of X is
Externí odkaz:
http://arxiv.org/abs/math/0206112
Autor:
Tokarev, Eugene
In the article is introduced a new class of Banach spaces that are called sub B-convex. Namely, a Banach space X is said to be B -convex if it may be represented as a direct sum l_1+ W, where W is B-convex. It will be shown that any separable sub B-c
Externí odkaz:
http://arxiv.org/abs/math/0206107
Autor:
Tokarev, Eugene
Is shown that any separable superreflexive Banach space X may be isometrically embedded in a separable superreflexive Banach space Z=Z(X) (which, in addition, is of the same type and cotype as X) such that its conjugate admits a continuous surjection
Externí odkaz:
http://arxiv.org/abs/math/0206110