منابع مشابه
Frames and Stable Bases for Shift-invariant Subspaces of L 2 (ir D ) Frames and Stable Bases for Shift-invariant Subspaces of L 2 (ir D )
Let X be a countable fundamental set in a Hilbert space H, and let T be the operator T : `2(X)! H : c 7! X
متن کاملFrames and Stable Basesfor Shift - Invariant Subspaces of L 2 ( IRd )
Let X be a countable fundamental set in a Hilbert space H, and let T be the operator X x2X c(x)x: Whenever T is well-deened and bounded, X is said to be a Bessel sequence. If, in addition, ran T is closed, then X is a frame. Finally, a frame whose corresponding T is injective is a stable basis (also known as a Riesz basis). This paper considers the above three properties for subspaces H of L 2 ...
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The equilibrium form of a crystal is the shape which minimizes the total surface tension for a given volume. The surface tension itself is considered to be a function of the orientation of the crystal face within the crystal lattice. This function of orientation is identified with the stable norm on the second homology classes of a Riemannian 3-torus. Minimizing the total surface tension of the...
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In this paper we will compute the effect of the JamesHopf map after applying the Bousfield-Kuhn functor on Morava E-theory, and then compute the monochromatic Hopf invariant of the β family using this cohomological information.
متن کاملStable Configurations of Linear Subspaces and Quotient Coherent Sheaves
(resp. <). This is Theorem 2.2, which generalizes Mumford’s Proposition 4.3 of [21], where he treated the case Gr(k, V ), and Dolgachev’s Theorem 11.1 of [2], where he treated the case of subspaces of V . An equivalent version of the above criterion is given in Theorem 2.2’ in terms of systems of ai-dimensional quotients of V ⊗ W , as points in Πmi=1 Gr(V ⊗ W, ai). This alternative formulation ...
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ژورنال
عنوان ژورنال: Journal of Operator Theory
سال: 2013
ISSN: 0379-4024,1841-7744
DOI: 10.7900/jot.2010jun01.1866