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Characterizing finite subspaces

1974
*
Journal of combinatorial theory. Series A
*

In this paper we study generalizations of the following question: Is a

doi:10.1016/0097-3165(74)90075-2
fatcat:pd34tlzkajabjmejjcan6dniyy
*subspace*of a projective or affine space*characterized*by the cardinalities of intersections with all hyperplanes? ... If r > 1 then A(n, q; k, r, 1)*characterizes*k-*subspaces*of A ?Z-THEOREM 3. If r > -1 then P(n, q; k, r, 1)*characterizes*k-*subspaces*ofP7l. THEOREM 4. ... If j > 1 and (q,j) # (2, n -1) then A(n, q; k, 0, j)*characterizes*k-*subspaces*of A,, . THEOREM 5. If j > 1 then P(n, q; k, 0, j)*characterizes*k-s&paces of P ? ...##
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Characterization of finite dimensional subspaces of complex functions that are invariant under linear differential operators
[article]

2016
*
arXiv
*
pre-print

school relies on the fact that the right hand side function is the product of a polynomial and an exponential and that the linear spaces of those functions are invariant under differential operators (

arXiv:1607.05121v1
fatcat:srz2h62ydrbqvbmyhscu3tfhpe
*finite*... to prove that the linear spaces spanned by products of polynomial and exponentials are the only linear complex spaces that are invariant under differential operators, therefore non-homogeneous linear*finite*... Introduction We*characterize*the*finite*dimensional*subspaces*of the space of complex sequences which are invariant under every linear*finite*differences operator as direct sums of spaces of arithmetic-geometric ...##
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Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces

2016
*
Communications in nonlinear science & numerical simulation
*

*Finite*-time Lyapunov exponents and

*subspaces*are used to define and diagnose boundary-layer type, two-timescale behavior in the tangent linear dynamics and to determine the associated manifold structure ... Two-timescale behavior is

*characterized*by a slow-fast splitting of the tangent bundle for a state space region. ...

*finite*-time

*subspaces*are converging. ...

##
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Characterization of best approximations in normed linear spaces of matrices by elements of finite-dimensional linear subspaces

1981
*
Linear Algebra and its Applications
*

A general

doi:10.1016/0024-3795(81)90268-8
fatcat:ooejfbcotbberihgp7424xufgu
*characterization*theorem of best approximations in normed linear spaces is specialized to the linear space of real nX n matrices endowed with the spectral norm. ...*subspace*of Ml: Given the m-dimensional*subspace*A={A,,... ... ,m i=l 04 f;(x-g*)=%P(Pi) IIX-g*lIy i=l,..., THE CONJUGATE SPACE h4* Since M is*finite*-dimensional, its conjugate space M* is isomorphic to M itself. ...##
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Page 6295 of Mathematical Reviews Vol. , Issue 2004h
[page]

2004
*
Mathematical Reviews
*

Let Q be a quadric defined by a quadratic form in the

*finite*projective space Y = PG(d,q). A*subspace*of QO is a*subspace*of Y contained in Q. ... Van Maldeghem, “Hermitian Veroneseans over*finite*fields”, submitted] contains some proper- ties of Hermitian Veroneseans over*finite*fields, and these varieties and some of their projections are*characterized*...##
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Chebyshev subspaces in the space of compact operators

1975
*
Journal of Approximation Theory
*

CHEBYSHEV

doi:10.1016/0021-9045(75)90092-1
fatcat:tdsticmqynbvnizt75aqp7g36u
*SUBSPACES*OF*FINITE*CODIMENSION To*characterize*the Chebyshev*subspaces*of*finite*codimension in g(s), we first*characterize*the proximinal*subspaces*of 9?(Z). ... An intrinsic*characterization*of the*finite*-dimensional Chebyshev*subspaces*is then obtained. ...##
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Page 4698 of Mathematical Reviews Vol. , Issue 2004f
[page]

2004
*
Mathematical Reviews
*

The above

*characterization*is given by means of some*subspaces*in both classes of maximal singular*subspaces*, dealt with in a uniform way, and assuming that just one of these*subspaces*is of*finite*rank ... E. (1-KSS; Manhattan, KS)*Characterization*of Grassmannians by one class of singular*subspaces*. (English summary) Ady. Geom. 3 (2003), no. 3, 227-250. ...##
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J-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems

2013
*
Abstract and Applied Analysis
*

The minimal and maximal

doi:10.1155/2013/904976
fatcat:gchs7c6ofrhk3ifv4szs5tqhti
*subspaces*are*characterized*, and the defect indices of the minimal*subspaces*are discussed. ... All theJ-self-adjoint*subspace*extensions of the minimal*subspace*are completely*characterized*in terms of the square summable solutions and boundary conditions. ... In the third subsection,*characterizations*of the maximal*subspaces*are established.*Characterizations*of the Minimal*Subspaces*. ...##
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Chebyshev subspaces of finite codimension in spaces of continuous functions

1978
*
Journal of the Australian Mathematical Society
*

The proof depends upon a simplification of a

doi:10.1017/s1446788700011575
fatcat:oe5y2nqhbjec7hj45eyogpj5vi
*characterization*by Garkavi of the Chebyshev*subspaces*of*finite*codimension in C(X). Subject classification (Amer. Math. Soc. ... Garkavi in 1967*characterized*those compact metric spaces X with the property that the space C(X) of real-valued continuous functions possesses Chebyshev*subspaces*of fine codimension > 2. ... Chebyshev*subspaces*Garkavi's*characterization*of the Chebyshev*subspaces*of*finite*codimension in C(X) is as follows. ...##
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Reflexive lattices of subspaces

1980
*
Proceedings of the American Mathematical Society
*

We

doi:10.1090/s0002-9939-1980-0548075-0
fatcat:7falxalvnjbrndklm3r6ddfyty
*characterize**finite*reflexive lattices of*subspaces*of a*finite*dimensional vector space over an infinite field. ... A lattice of*subspaces*of a vector space is called reflejove if no other*subspace*is invariant under all linear mappings which leave invariant all*subspaces*of the lattice. ... Halmos ([2], [3]) has proposed the problem of*characterizing*reflexive lattices of*subspaces*. ...##
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Extension closed and cluster closed subspaces

1972
*
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
*

Among Hausdorff spaces, the closed

doi:10.4153/cjm-1972-119-8
fatcat:ypczmm7o5rczbmhtspjyuecox4
*subspaces*are*characterized*by the property that such a*subspace*is extension closed] that is, every cover of the*subspace*extends to a cover of the entire space. ... A number of equivalent*characterizations*of extension closed*subspaces*can be given. A few preliminary properties must be set forth. ... The following*characterizations*of cluster closed*subspaces*are sometimes useful; the*characterization*(iii) is the source of the term cluster closed. PROPOSITION B. ...##
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Page 100 of Mathematical Reviews Vol. 34, Issue 1
[page]

1967
*
Mathematical Reviews
*

Finally, he gives some |

*characterizations*of*finite*-dimensional smooth Banach spaces E in terms of CebySev sets. ... .; Zippin, M. 588 On*finite*dimensional*subspaces*of Banach spaces. Israel J. Math. 3 (1965), 147-156. ...##
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Weak Chebyshev subspaces and $A$-subspaces of $C[a,b]$

1990
*
Transactions of the American Mathematical Society
*

In this paper we show some very interesting properties of weak Chebyshev

doi:10.1090/s0002-9947-1990-1010886-6
fatcat:5vigyyplebaezc3gc5tji6pud4
*subspaces*and use them to simplify Pinkus's*characterization*of Asubspaces of C[a, b]. ... As a consequence we obtain that if the metric projection PG from C[a, b] onto a*finite*-dimensional*subspace*G has a continuous selection and elements of G have no common zeros on (a, b), then G is an / ... Then we have the following*characterization*of Chebyshev*subspaces*of Cw(K) with respect to varying weights. 5X4 WU LI Theorem 1.1. Suppose that G is a*finite*-dimensional*subspace*of C(K). ...##
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Page 1516 of Mathematical Reviews Vol. , Issue 85d
[page]

1985
*
Mathematical Reviews
*

spaces in L'

*subspaces*] Trans. Amer. Math. Soc. 279 (1983), no. 2, 611-616. The space [? is said to be*finitely*representable in the linear space E if, for each*finite*-dimensional*subspace*X of [? ... A Banach space X is called an £; ,-space if each*finite*-dimen- sional*subspace*E of X is contained in another*finite*-dimensional*subspace*F of X such that the Banach- Mazur distance between F and [¢'™ ...##
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The inaccessible invariant subspaces of certain $C\sb{0}$\ operators

1980
*
Proceedings of the American Mathematical Society
*

We extend the Douglas-Pearcy

doi:10.1090/s0002-9939-1980-0548083-x
fatcat:45x2fgpsyjhzbiqopuxubapocy
*characterization*of the inaccessible invariant*subspaces*of an operator on a*finite*-dimensional Hubert space to the cases of algebraic operators and certain C0 operators on ... This*characterization*shows that the inaccessible invariant*subspaces*for such an operator form a lattice. In contrast to D. ... Douglas and Carl Pearcy [3] have*characterized*the isolated invariant*subspaces*for T in the case of*finite*-dimensional H (see [9, Chapters 6 and 7], for the linear algebra used in this article): An ...
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