EUDML

Currently displaying 1 – 20 of 26

Order by Relevance | Title | Year of publication

On Tensor Product Characterization of Nuclear Spaces.

Kamil John — 1981

Mathematische Annalen

Tensor Product of Several Spaces and Nuclearity.

Kamil John — 1984

Mathematische Annalen

Counterexample to a Conjecture of Grothendieck.

Kamil John — 1983

Mathematische Annalen

On the compact non-nuclear operator problem.

Kamil John — 1990

Mathematische Annalen

Pták's characterization of reflexivity in tensor products

Kamil John — 2006

Czechoslovak Mathematical Journal

We characterize the reflexivity of the completed projective tensor products $X {\tilde{\otimes}}_{π} Y$ of Banach spaces in terms of certain approximative biorthogonal systems.

On a result of J. Johnson

Kamil John — 1995

Czechoslovak Mathematical Journal

$w^{*}$ -basic sequences and reflexivity of Banach spaces

Kamil John — 2005

Czechoslovak Mathematical Journal

We observe that a separable Banach space $X$ is reflexive iff each of its quotients with Schauder basis is reflexive. Similarly if $ℒ (X, Y)$ is not reflexive for reflexive $X$ and $Y$ then $ℒ (X_{1}, Y)$ is is not reflexive for some $X_{1} \subset X$ , $X_{1}$ having a basis.

Projections from $L (X, Y)$ onto $K (X, Y)$

Kamil John — 2000

Commentationes Mathematicae Universitatis Carolinae

Generalization of certain results in [Sap] and simplification of the proofs are given. We observe e.g.: Let $X$ and $Y$ be Banach spaces such that $X$ is weakly compactly generated Asplund space and $X^{*}$ has the approximation property (respectively $Y$ is weakly compactly generated Asplund space and $Y^{*}$ has the approximation property). Suppose that $L (X, Y) \neq K (X, Y)$ and let $1 < λ < 2$ . Then $X$ (respectively $Y$ ) can be equivalently renormed so that any projection $P$ of $L (X, Y)$ onto $K (X, Y)$ has the sup-norm greater or equal to $λ$ .

Compact non-nuclear operator problem

Kamil John — 1989

Commentationes Mathematicae Universitatis Carolinae

A remark on Schwartz spaces consistent with a duality

Kamil John — 1971

Commentationes Mathematicae Universitatis Carolinae

Schwartz spaces consistent with a duality

Kamil John — 1971

Commentationes Mathematicae Universitatis Carolinae

Operators whose tensor powers are $ε$ - $π$ -continuous

Kamil John — 1988

Czechoslovak Mathematical Journal

Zwei Charakterisierungen der nuklearen lokalkonvexen Räume

Kamil John — 1967

Commentationes Mathematicae Universitatis Carolinae

Some remarks on compact maps in Banach spaces

Kamil John — 1973

Czechoslovak Mathematical Journal

U-ideals of factorable operators

Kamil John — 1999

Czechoslovak Mathematical Journal

We suggest a method of renorming of spaces of operators which are suitably approximable by sequences of operators from a given class. Further we generalize J. Johnsons’s construction of ideals of compact operators in the space of bounded operators and observe e.g. that under our renormings compact operators are $u$ -ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.

On the uncomplemented subspace $K (X, Y)$

Kamil John — 1992

Czechoslovak Mathematical Journal

Weak compact generating in duality

Kamil John; Václav Zizler — 1976

Studia Mathematica

The space of compact operators contains $c_{0}$ when a noncompact operator is suitably factorized

Giovanni Emmanuele; Kamil John — 2000

Czechoslovak Mathematical Journal

Uncomplementability of spaces of compact operators in larger spaces of operators

Giovanni Emmanuele; Kamil John — 1997

Czechoslovak Mathematical Journal

In the first part of the paper we prove some new result improving all those already known about the equivalence of the nonexistence of a projection (of any norm) onto the space of compact operators and the containment of $c_{0}$ in the same space of compact operators. Then we show several results implying that the space of compact operators is uncomplemented by norm one projections in larger spaces of operators. The paper ends with a list of questions naturally rising from old results and the results...

$M$ -ideals of compact operators into $ℓ_{p}$

Kamil John; Dirk Werner — 2000

Czechoslovak Mathematical Journal

We show for $2 \leq p < \infty$ and subspaces $X$ of quotients of $L_{p}$ with a $1$ -unconditional finite-dimensional Schauder decomposition that $K (X, ℓ_{p})$ is an $M$ -ideal in $L (X, ℓ_{p})$ .

Page 1 Next

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 20 of 26

On Tensor Product Characterization of Nuclear Spaces.

Tensor Product of Several Spaces and Nuclearity.

Counterexample to a Conjecture of Grothendieck.

On the compact non-nuclear operator problem.

Pták's characterization of reflexivity in tensor products

On a result of J. Johnson

$w^{*}$ -basic sequences and reflexivity of Banach spaces

Projections from $L (X, Y)$ onto $K (X, Y)$

Compact non-nuclear operator problem

A remark on Schwartz spaces consistent with a duality

Schwartz spaces consistent with a duality

Operators whose tensor powers are $ε$ - $π$ -continuous

Zwei Charakterisierungen der nuklearen lokalkonvexen Räume

Some remarks on compact maps in Banach spaces

U-ideals of factorable operators

On the uncomplemented subspace $K (X, Y)$

Weak compact generating in duality

The space of compact operators contains $c_{0}$ when a noncompact operator is suitably factorized

Uncomplementability of spaces of compact operators in larger spaces of operators

$M$ -ideals of compact operators into $ℓ_{p}$