Results 211 to 220 of about 19,014 (240)
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Mean ergodicity on Banach lattices and Banach spaces
Archiv der Mathematik, 1999Let \(E\) be a Banach space. The linear operator \(T:E\rightarrow E\) is called power-bounded if \(\sup\{||T^n||:n\in \mathbb N\}0\) and \(\eta\in [0,1]\) such that \(\lim_{n\to\infty}\inf\{\|T^nx-y\|: y\in [-z,z]+B(0,\eta)\}=0\) where \(B(0,\eta)\) denotes the closed ball around \(0\) with radius \(\eta\). In the paper under review the following facts
Manfred Wolff, Eduard Yu. Emel'yanov
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The Norm of a Complex Banach Lattice
Positivity, 1997Let \(X_C\) denote the complexification of a real Banach space \(X\). The question of norming \(X_C\) is related to cross norms. It is shown that a norm is admissible (a natural condition) on \(X_C\) if and only if the norm is induced by a complex-homogeneous cross-norm on the tensor product \(X\otimes R^2\).
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, 2020 2005
Summary: In this study, without using the assumption \(a^{-1}>0\), it is shown that \(E\) is lattice- and algebra-isometric isomorphic to the reals \({\mathbb R}\) whenever \(E\) is a Banach lattice \(f\)-algebra with unit \(e\), \(\|e\|= 1\), in which for every \(a>0\) the inverse \(a^{-1}\) exists.
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Summary: In this study, without using the assumption \(a^{-1}>0\), it is shown that \(E\) is lattice- and algebra-isometric isomorphic to the reals \({\mathbb R}\) whenever \(E\) is a Banach lattice \(f\)-algebra with unit \(e\), \(\|e\|= 1\), in which for every \(a>0\) the inverse \(a^{-1}\) exists.
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Nanointerface Chemistry: Lattice-Mismatch-Directed Synthesis and Application of Hybrid Nanocrystals
Chemical Reviews, 2020Jia Liu, Jia-Tao Zhang
exaly
1991
In this section we mainly are interested in showing characterizations of properties of subspaces of Banach lattices. Moreover we will use the theory of order weakly compact operators to prove some results for arbitrary Banach spaces. First we will recall some basic facts concerning Schauder bases and topological embeddings of c0.
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In this section we mainly are interested in showing characterizations of properties of subspaces of Banach lattices. Moreover we will use the theory of order weakly compact operators to prove some results for arbitrary Banach spaces. First we will recall some basic facts concerning Schauder bases and topological embeddings of c0.
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Second-Sphere Lattice Effects in Copper and Iron Zeolite Catalysis
Chemical Reviews, 2022Hannah M Rhoda +2 more
exaly
Lattice oxygen redox chemistry in solid-state electrocatalysts for water oxidation
Energy and Environmental Science, 2021Ning Zhang, Yang Chai
exaly