منابع مشابه
On duality of modular G-Riesz bases and G-Riesz bases in Hilbert C*-modules
In this paper, we investigate duality of modular g-Riesz bases and g-Riesz bases in Hilbert C*-modules. First we give some characterization of g-Riesz bases in Hilbert C*-modules, by using properties of operator theory. Next, we characterize the duals of a given g-Riesz basis in Hilbert C*-module. In addition, we obtain sufficient and necessary condition for a dual of a g-Riesz basis to be agai...
متن کاملDuality between L-bases and B-bases
abstract L-bases and B-bases are two important classes of polynomial bases used for representing surfaces in CAGD. The B ezier and multinomial bases are special cases of both L-bases and B-bases. We establish that certain proper subclasses of bivariate Lagrange and Newton bases are L-bases and certain proper subclasses of power and Newton dual bases are B-bases. A geometric point-line duality b...
متن کاملon duality of modular g-riesz bases and g-riesz bases in hilbert c*-modules
in this paper, we investigate duality of modular g-riesz bases and g-riesz basesin hilbert c*-modules. first we give some characterization of g-riesz bases in hilbert c*-modules, by using properties of operator theory. next, we characterize the duals of a giveng-riesz basis in hilbert c*-module. in addition, we obtain sucient and necessary conditionfor a dual of a g-riesz basis to be again a g...
متن کاملsymplectic hodge theory, harmonicity, and thom duality
we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distri...
متن کاملDuality and S-theory
1. Given topological spaces X and Fand two continuous mappings ƒ o and jfi from X to F (denoted by fo, fi : X—> F) we say that ƒ o is homotopic to jfi (denoted by fo—fi) if there exists a continuous family of continuous mappings ht: X—+Y for O^t^l such that ho=fo and h =/ i . Intuitively fo<^fi if the map ƒ o can be continuously deformed into the map jfi. I t is easily seen [4; 7] that the rela...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1970
ISSN: 0002-9947
DOI: 10.2307/1995669