scientific article

zbMath0496.46001MaRDI QIDQ3961306

Endre Pap

Publication date: 1982

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zbMATH Keywords

Hahn-Banach theoremuniform boundedness principleOrlicz-Pettis theoremopen mapping theoremtriangular functionalsabsolute p-summable operatorsdiagonal theoremsdifferent kinds of completeness in sequentially convergence spacesNikodym and Vitali- Hahn-Saks theorems

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General theory of locally convex spaces (46A03) Barrelled spaces, bornological spaces (46A08) Duality theory for topological vector spaces (46A20) Functional analytic methods in summability (40H05) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Structure of topological semigroups (22A15) Duality and reflexivity in normed linear and Banach spaces (46B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01)

Related Items (5)

Noncommutative version of Nikodym boundedness theorem for uniform space- valued functions ⋮ Unnamed Item ⋮ On some types of kernels of a convergence $l$-group ⋮ Unnamed Item ⋮ Unnamed Item

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