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Showing 1 to 20 of 190 for “"subspaces"”.
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Continuities on Subspaces
We define a generalized continuity by declaring that for any family S of subsets of a topological space X, a function f : X → Y is S -continuous if for each S∈ S , the function f ↾ S : S → Y is continuous. This is easily seen to generalize such well known concepts as separate …
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Norm-determining subspaces
This thesis will centre on the concept of norming subspaces in the dual of a Banach space. We shall consider a weakly-dense subspace V of E', and the natural norm it generates on E. If this new norm is equivalent to the original norm on E, then V is called norming or norm-determining.
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Subspaces of Dual-Less Spaces
We find sufficient conditions for a sequence of random variables to have a subsequence whose linear span has a non-trivial dual in the topology of convergence in measure. In particular, we study sequences of characteristic functions. We also consider basic and semi-basic sequences in F-spaces; the …
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Complemented subspaces of weakL(1)
… this paper, we can see the complemented Banach subspaces of $wL\sb{\1}.$ In particular, the space $wL\sb{\1}$ contains complemented Banach sublattices that are isometrically isomorphic $l\sp{p}\ (1 \le p < \infty)$ and $c\sb0.$ Moreover, if E is a separable reflexive Banach lattice, then the …
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Recycling Krylov Subspaces and Preconditioners
… We develop algorithms that recycle Krylov subspaces and preconditioners from one system (or pair of systems) in the sequence to the next, leading to efficient solutions. Besides the benefit of only having to store few Lanczos vectors, using BiConjugate Gradients (BiCG) to solve dual linear …
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Complemented Subspaces of Bounded Linear Operators
For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This …
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Stable invariant subspaces, reflexivity, and BMO
… part of the thesis we study the stable invariant subspaces of Hilbert-space operators. We prove that if T is an operator on an infinite dimensional Hilbert space whose spectrum and essential spectrum are both connected and whose Fredholm index is only 0 or 1, then the only nontrivial norm-stable …
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Operators and subspaces of L(,0)
… non-linear lifting theorems for locally convex subspaces of $L\sb0,$ and we give a characterization for locally bounded subspaces of $L\sb0.$ For every closed locally convex subspace E of $L\sb0$ and for any continuous linear operator T from $L\sb0$ to $L\sb0/E$ there is a continuous linear …
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On invariant subspaces of a normal operator
… that the operator has invariant non-reducing subspaces. We were led to this study by the work of Halmos, Wermer, and Bram.
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Topics in the theory of invariant subspaces
Summary available: p. [4].
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Maximally informative subspaces : nonparametric estimation for dynamical systems
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2000.
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Hausdorff Dimension of Wildly Embedded Zero Dimensional Subspaces of R³
No abstract prepared.
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Structure of Invariant Subspaces for Left-Invertible Operators on Hilbert Space
… primarily concerned with studying the invariant subspaces of left-invertible, weighted shifts, with generalizations to left-invertible operators where applicable. The two main problems that are researched can be stated together as When does a weighted shift have the one-dimensional wandering …
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On the geometry and parametrization of almost invariant subspaces and observer theory
… geometry and parametrization of almost invariant subspaces and observer theory" I consider the set of almost conditioned invariant subspaces of fixed dimension for a given fixed linear finite-dimensional time-invariant observable control system in state space form. Almost conditioned invariant …
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An Investigation of the Geometry of Subspaces for Some Multivariate Statistical Models
Made available in DSpace on 2014-12-09T17:13:47Z (GMT). No. of bitstreams: 1 7000816.pdf: 3257513 bytes, checksum: d4f7d49a768a8b7bcd9b0e1d32250381 (MD5) Previous issue date: 1969
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The updated subspaces method in optimization and in solving linear systems of equations
The Updated Conjugate Subspaces method, an modified quasi-Newton method for solving nonlinear unconstrained minimization problems, has flexibility of choosing different quadratic approximation at each iteration and therefore has potential of improving the rate of convergence given by the …
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Reconstruction of Functions From Non-uniformly Distributed Sampled Data in Shift-Invariant Frame Subspaces
… bandlimited signals in shift-invariant L2 subspaces from a set of non-uniformly distributed sampled data. The Shannon-Whittaker reconstruction formula commonly used in uniform sampling problems is insufficient in reconstructing function from non-uniformly distributed sampled data. Therefore …
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A class of weighted Bergman spaces, reducing subspaces for multiple weighted shifts, and dilatable operators
… In Chapter 3 we will characterize the reducing subspaces of multiple weighted shifts. The reducing subspaces of the Bergman and the Dirichlet shift of multiplicity N are portrayed from this characterization. In Chapter 4 we will introduce the class of super-isometrically dilatable operators and …
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A Beurling Theorem for Noncommutative Hardy Spaces Associated with a Semifinite von Neumann Algebra with Various Norms
… theorem for H-invariant subspaces of L p (M,τ) when 0 < p ≤ -. We also prove a Beurling-Chen-Hadwin-Shen theorem for H -invariant subspaces of L a (M,τ) where a is a unitarily invariant, locally k 1 -dominating, mutually continuous norm with respect to &\tau;. For …
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A geometric analysis of model reduction of linear systems
… theory. By appropriate selection of reducing subspaces, useful lower-order system models can be achieved. The reducing subspaces can be chosen as parts of a system which are "most" and "least" controllable or observable; retaining, of course, the most controllable/observable subspace for model …
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