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CONTENTSIntroduction................................................................................................................................5I. Basic notations and definitions................................................................................................7II. Basic properties of finite-dimensional decompositions with (p,q)-estimates............................8III. A construction of f.d.d.'s satisfying (p,q)-estimates and its geometric applications...............13IV. An application of the construction of f.d.d.'s with (p,q)-estimates to universal spaces.........24V. Examples..............................................................................................................................34Open problems.........................................................................................................................39References...............................................................................................................................40
Stanisław Prus. Finite-dimensional decompositions of Banach spaces with (p,q)-estimates. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1987. <http://eudml.org/doc/268519>.
@book{StanisławPrus1987, abstract = {CONTENTSIntroduction................................................................................................................................5I. Basic notations and definitions................................................................................................7II. Basic properties of finite-dimensional decompositions with (p,q)-estimates............................8III. A construction of f.d.d.'s satisfying (p,q)-estimates and its geometric applications...............13IV. An application of the construction of f.d.d.'s with (p,q)-estimates to universal spaces.........24V. Examples..............................................................................................................................34Open problems.........................................................................................................................39References...............................................................................................................................40}, author = {Stanisław Prus}, keywords = {Banach-Mazur theorem; separable reflexive space which is isometrically universal for the class of all separable reflexive spaces; separable super-reflexive spaces; universal separable reflexive space; Banach spaces with finite-dimensional decompositions satisfying (p,q)-estimates}, language = {eng}, location = {Warszawa}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, title = {Finite-dimensional decompositions of Banach spaces with (p,q)-estimates}, url = {http://eudml.org/doc/268519}, year = {1987}, }
TY - BOOK AU - Stanisław Prus TI - Finite-dimensional decompositions of Banach spaces with (p,q)-estimates PY - 1987 CY - Warszawa PB - Instytut Matematyczny Polskiej Akademi Nauk AB - CONTENTSIntroduction................................................................................................................................5I. Basic notations and definitions................................................................................................7II. Basic properties of finite-dimensional decompositions with (p,q)-estimates............................8III. A construction of f.d.d.'s satisfying (p,q)-estimates and its geometric applications...............13IV. An application of the construction of f.d.d.'s with (p,q)-estimates to universal spaces.........24V. Examples..............................................................................................................................34Open problems.........................................................................................................................39References...............................................................................................................................40 LA - eng KW - Banach-Mazur theorem; separable reflexive space which is isometrically universal for the class of all separable reflexive spaces; separable super-reflexive spaces; universal separable reflexive space; Banach spaces with finite-dimensional decompositions satisfying (p,q)-estimates UR - http://eudml.org/doc/268519 ER -