منابع مشابه
On a Problem of G . G . Lorentz
Let C(B) denote the space of real-valued continuous functions on B. At the conference Harmonic Analysis and Approximations held at Nor Amberd in Armenia in September, 1998, the following general problem was posed by Professor George G. Lorentz. Find conditions on finite dimensional subspaces U and V so that U/V is a unicity set in the problem of best uniform approximation to elements of C(B). I...
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To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...
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The equivalence relation isoclinism partitions the class of all pairs of groups into families. In this paper, a complete classification of the set of all pairs $(G,G')$ is established, whenever $G$ is a $p$-group of order at most $p^5$ and $p$ is a prime number greater than 3. Moreover, the classification of pairs $(H,H')$ for extra special $p$-groups $H$ is also given.
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G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.
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I started my research in approximation theory in a time when George Lorentz was one of the central figures, an undisputed world expert, of the subject. It meant a lot to me that he paid a special attention to my work on polynomial inequalities, Markov and Bernstein type inequalities in particular. A few years later I had a feeling he viewed me as one of the leading experts of Müntz polynomials ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1975
ISSN: 0021-9045
DOI: 10.1016/0021-9045(75)90007-6