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Proceedings of the London Mathematical Society, 1988
In a recent paper by \textit{V. D. Milman} and the author [Isr. J. Math. 54, 139-158 (1986; Zbl 0611.46022)] the notion of weak cotype 2 and weak type 2 Banach spaces were introduced. In the present paper the author considers the class of Banach spaces which are both of weak type 2 and weak cotype 2.
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In a recent paper by \textit{V. D. Milman} and the author [Isr. J. Math. 54, 139-158 (1986; Zbl 0611.46022)] the notion of weak cotype 2 and weak type 2 Banach spaces were introduced. In the present paper the author considers the class of Banach spaces which are both of weak type 2 and weak cotype 2.
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Mathematika, 2010
A covering \((C_n)\) of a Banach space is said to be a \textit{tiling} if the interiors of \(C_n\) are pairwise disjoint. Answering a question originating from the work of \textit{V.\,Klee} [Math.\ Ann.\ 257, 251--260 (1981; Zbl 0453.41021)], the author proves that a separable Hilbert space has a tiling by closed convex sets whose outer radii are ...
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A covering \((C_n)\) of a Banach space is said to be a \textit{tiling} if the interiors of \(C_n\) are pairwise disjoint. Answering a question originating from the work of \textit{V.\,Klee} [Math.\ Ann.\ 257, 251--260 (1981; Zbl 0453.41021)], the author proves that a separable Hilbert space has a tiling by closed convex sets whose outer radii are ...
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1998
Let \(K\) be a field complete with respect to some valuation 1.1 and let \(E=(E,\|\cdot \|)\) be a \(K\)-Banach space. \(K\)-Banach spaces \(E\) such that for each closed subspace \(D\) there exists a linear surjective projection \(P:E\to D\) satisfying \(\| Px\|\leq\| x\|\) for all \(x\in E\) are called norm Hilbert spaces (NHS). The authors introduce
Ochsenius, H., Schikhof, W.H.
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Let \(K\) be a field complete with respect to some valuation 1.1 and let \(E=(E,\|\cdot \|)\) be a \(K\)-Banach space. \(K\)-Banach spaces \(E\) such that for each closed subspace \(D\) there exists a linear surjective projection \(P:E\to D\) satisfying \(\| Px\|\leq\| x\|\) for all \(x\in E\) are called norm Hilbert spaces (NHS). The authors introduce
Ochsenius, H., Schikhof, W.H.
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A family of Hilbert spaces which are not reproducing kernel Hilbert spaces.
2003For a given countable dense subset \(A\) of the unit disc \(\mathbb D\) a Hilbert space \(E\) of analytic functions on \(\mathbb D\) is constructed in such a way that for every point of \(A\) the corresponding point evaluation functional is unbounded on \(E\).
Mills, Terence., Alpay, Daniel.
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Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
Journal of Functional Analysis, 2008Miroljub Jevtic, Dragan Vukotić
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Applications of rigged Hilbert spaces in quantum mechanics and signal processing
Journal of Mathematical Physics, 2016E Celeghini, M Gadella, M A Del Olmo
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Discrete Frames on Finite Dimensional Left Quaternion Hilbert Spaces
Axioms, 2017K Thirulogasanthar, Thirulogasanthar K
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