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We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.
Kalenda, Ondrej F. K.. "Complex Banach spaces with Valdivia dual unit ball.." Extracta Mathematicae 20.3 (2005): 243-259. <http://eudml.org/doc/41840>.
@article{Kalenda2005, abstract = {We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems.}, author = {Kalenda, Ondrej F. K.}, journal = {Extracta Mathematicae}, keywords = {Geometría y estructura de espacios de Banach; Espacio reflexivo; Espacios normados; Valdivia compact, dual unit ball, complex Banach space; Plichko Banach space}, language = {eng}, number = {3}, pages = {243-259}, title = {Complex Banach spaces with Valdivia dual unit ball.}, url = {http://eudml.org/doc/41840}, volume = {20}, year = {2005}, }
TY - JOUR AU - Kalenda, Ondrej F. K. TI - Complex Banach spaces with Valdivia dual unit ball. JO - Extracta Mathematicae PY - 2005 VL - 20 IS - 3 SP - 243 EP - 259 AB - We study the classes of complex Banach spaces with Valdivia dual unit ball. We give complex analogues of several theorems on real spaces. Further we study relationship of these complex Banach spaces with their real versions and that of real Banach spaces and their complexification. We also formulate several open problems. LA - eng KW - Geometría y estructura de espacios de Banach; Espacio reflexivo; Espacios normados; Valdivia compact, dual unit ball, complex Banach space; Plichko Banach space UR - http://eudml.org/doc/41840 ER -