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In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.
Conejero, José A.. "Enlargements of operators between locally convex spaces.." RACSAM 101.1 (2007): 45-50. <http://eudml.org/doc/41662>.
@article{Conejero2007, abstract = {In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.}, author = {Conejero, José A.}, journal = {RACSAM}, keywords = {locally convex spaces; continuous linear operators; spaces of bounded vector-valued sequences}, language = {eng}, number = {1}, pages = {45-50}, title = {Enlargements of operators between locally convex spaces.}, url = {http://eudml.org/doc/41662}, volume = {101}, year = {2007}, }
TY - JOUR AU - Conejero, José A. TI - Enlargements of operators between locally convex spaces. JO - RACSAM PY - 2007 VL - 101 IS - 1 SP - 45 EP - 50 AB - In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism. LA - eng KW - locally convex spaces; continuous linear operators; spaces of bounded vector-valued sequences UR - http://eudml.org/doc/41662 ER -