It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear functionals, is not true in general for bounded linear operators. A characterization of spaces for which it is true was published by Kakutani in 1940. We summarize Kakutani's work and we give an example which demonstrates that his characterization is not valid for two-dimensional spaces
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
In this paper we have obtained a new theorem that a nonlinear Lipschitz (Lip-) functional defined on...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
Abstract. It is well known that the Hahn-Banach theorem, that is, the extension theo-rem for bounded...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
textabstractWe consider one of the basic results of functional analysis, the classical theorem of Ha...
. In this paper we introduce a new extension to Hahn-Banach Theorem and consider its relation with ...
AbstractThe classical Hahn-Banach Theorem states that any linear bounded functional defined on a lin...
Banach spaces are one of many major topics of study in Functional Analysis. A Banach space is a comp...
Bibliography: pages 101-104.Linear operator theory is usually studied in the setting of normed or Ba...
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
Copyright c © 2014 B. G. Akuchu. This is an open access article distributed under the Creative Commo...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
In this paper we have obtained a new theorem that a nonlinear Lipschitz (Lip-) functional defined on...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
Abstract. It is well known that the Hahn-Banach theorem, that is, the extension theo-rem for bounded...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
textabstractWe consider one of the basic results of functional analysis, the classical theorem of Ha...
. In this paper we introduce a new extension to Hahn-Banach Theorem and consider its relation with ...
AbstractThe classical Hahn-Banach Theorem states that any linear bounded functional defined on a lin...
Banach spaces are one of many major topics of study in Functional Analysis. A Banach space is a comp...
Bibliography: pages 101-104.Linear operator theory is usually studied in the setting of normed or Ba...
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
Copyright c © 2014 B. G. Akuchu. This is an open access article distributed under the Creative Commo...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
In this article, we study some geometric properties like parallelism, orthogonality, and semirotundi...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
In this paper we have obtained a new theorem that a nonlinear Lipschitz (Lip-) functional defined on...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
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