Add to ORKGWe give a new proof of a characterization of the closeness of the range of a continuous linear operator and of the closeness of the sum of two closed vector subspaces of a Banach space. Then we state sufficient conditions for the closeness of the sum of two closed subspaces of the Banach space of bounded functions and apply this result on various pseudo almost periodic spaces and pseudo almost automorphic spaces
Suppose one has two closed linear subspaces. Is their sum also closed? It turns out that it is not n...
AbstractLet X be a compact Hausdorff space and let A be a closed linear subspace of CC(X) containing...
AbstractLet B be a closed linear transformation of the Banach space X into the Banach space Y and le...
We give a new proof of a characterization of the closeness of the range of a continuous linear ope...
It is proved that a separable Banach space X admits a representation $X = X_1 + X_2$ as a sum (not n...
Abstract In this article, a new characterization of the closedness of the sum of two closed subspace...
AbstractSome results are presented giving conditions under which the algebraic sum of two closed lin...
AbstractRecent contributions on spaceability have overlooked the applicability of results on operato...
AbstractLet X and Y be Banach spaces, let T:X→Y be a bounded linear operator with closed range, and ...
Let X and Y be Banach spaces, let T : X --\u3e Y be a bounded linear operator with closed range, and...
Given a bounded linear operator T from a separable infinite-dimensional Banach space E into a Banach...
We formulate a general approximation problem involving reflexive and smooth Banach spaces, and give ...
This paper studies typical Banach and complete seminormed spaces of locally summable functions and t...
AbstractA quasi-Chebyshev subspace of a Banach space X has been defined as one in which the set of b...
A bstract. We give necessary and sufficient conditions for the sum of closed subspaces of a Hilbert ...
Suppose one has two closed linear subspaces. Is their sum also closed? It turns out that it is not n...
AbstractLet X be a compact Hausdorff space and let A be a closed linear subspace of CC(X) containing...
AbstractLet B be a closed linear transformation of the Banach space X into the Banach space Y and le...
We give a new proof of a characterization of the closeness of the range of a continuous linear ope...
It is proved that a separable Banach space X admits a representation $X = X_1 + X_2$ as a sum (not n...
Abstract In this article, a new characterization of the closedness of the sum of two closed subspace...
AbstractSome results are presented giving conditions under which the algebraic sum of two closed lin...
AbstractRecent contributions on spaceability have overlooked the applicability of results on operato...
AbstractLet X and Y be Banach spaces, let T:X→Y be a bounded linear operator with closed range, and ...
Let X and Y be Banach spaces, let T : X --\u3e Y be a bounded linear operator with closed range, and...
Given a bounded linear operator T from a separable infinite-dimensional Banach space E into a Banach...
We formulate a general approximation problem involving reflexive and smooth Banach spaces, and give ...
This paper studies typical Banach and complete seminormed spaces of locally summable functions and t...
AbstractA quasi-Chebyshev subspace of a Banach space X has been defined as one in which the set of b...
A bstract. We give necessary and sufficient conditions for the sum of closed subspaces of a Hilbert ...
Suppose one has two closed linear subspaces. Is their sum also closed? It turns out that it is not n...
AbstractLet X be a compact Hausdorff space and let A be a closed linear subspace of CC(X) containing...
AbstractLet B be a closed linear transformation of the Banach space X into the Banach space Y and le...