A Bishop-Phelps-Bollobás theorem for Asplund operators
DOI10.1007/s10114-020-9410-5zbMath1455.46013OpenAlexW3041389192MaRDI QIDQ2194746
Kang Kang Xu, Wen Zhang, Zhe-Ming Zheng, Qing Jin Cheng, Li Xing Cheng
Publication date: 7 September 2020
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-020-9410-5
Banach spaceBishop-Phelps-Bollobás theoremAsplund operatorFréchet differentiability of convex functionsRadon-Nikodým operator
Linear operators defined by compactness properties (47B07) Linear operators on Banach algebras (47B48) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Isometric theory of Banach spaces (46B04) Rings and algebras of continuous, differentiable or analytic functions (46E25)
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Cites Work
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- A Bishop-Phelps-Bollobás type theorem for uniform algebras
- Separably related sets and the Radon-Nikodým property
- The Bishop-Phelps-Bollobás theorem for operators
- Convex functions, monotone operators and differentiability
- Banach spaces which are Asplund spaces
- On dentability and the Bishop-Phelps property
- \(\Gamma\)-flatness and Bishop-Phelps-Bollobás type theorems for operators
- Geometric aspects of convex sets with the Radon-Nikodym property
- On operators which attain their norm
- A Dodds--Fremlin property for Asplund and Radon--Nikodým operators
- Fréchet differentiability of convex functions
- The Bishop-Phelps-Bollobás theorem and Asplund operators
- A proof that every Banach space is subreflexive
- Yet More on the Differentiability of Convex Functions
- The Radon-Nikodym Property in Conjugate Banach Spaces. II
- The Radon-Nikodym Property in Conjugate Banach Spaces
- An operator ideal in connection with the RADON-NIKODYM property of BANACH spaces
- A Note on the Differentiability of Convex Functions
- On the Bishop-Phelps theorem in Complex spaces
- On the Subdifferentiability of Convex Functions
- An Extension to the Theorem of Bishop and Phelps
- Stopping Times and Directed Processes
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