O. Reinov

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math.FA2002

On Banach spaces without the approximation property

Oleg I. Reinov

A. Szankowski's example is used to construct a Banach space similar to that of "An example of an asymptotically Hilbertian space which fails the approximation property", P.G. Casaz…

math.FA2001

On factorization of operators through the spaces $l^{p} .$

Oleg I. Reinov

We give conditions on a pair of Banach spaces $X$ and $Y,$ under which each operator from $X$ to $Y,$ whose second adjoint factors compactly through the space $l^{p},$ $1\le p\le+\in…

math.FA2001

Approximation properties $A P_{s}$ and p-nuclear operators (the case where $0 < s \leq 1$ )

Oleg I. Reinov

Among other things, it is shown that there exist Banach spaces $Z$ and $W$ such that $Z^{**}$ and $W$ have bases, and for every $p \in [1, 2)$ there is an operator $T : W \to Z$ that is…

math.FA2001

On linear operators with p-nuclear adjoints

Oleg I. Reinov

If $p \in [1, + \infty]$ and $T$ is a linear operator with $p$ -nuclear adjoint from a Banach space $X$ to a Banach space $Y$ then if one of the spaces $X^{*}$ or $Y^{***}$ has the appr…

On Banach spaces without the approximation property

On factorization of operators through the spaces lp.

Approximation properties APs​ and p-nuclear operators (the case where 0<s≤1)

On linear operators with p-nuclear adjoints

On factorization of operators through the spaces $l^{p} .$

Approximation properties $A P_{s}$ and p-nuclear operators (the case where $0 < s \leq 1$ )