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Volumn 185, Issue 1, 2008, Pages 67-82

The random paving property for uniformly bounded matrices

Author keywords

Kadison Singer problem; Paving problem; Random matrix

Indexed keywords


EID: 43149116097     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm185-1-4     Document Type: Article
Times cited : (27)

References (13)
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  • 2
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    • Invertibility of "large" submatrices with applications to the geometry of Banach spaces and harmonic analysis
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    • (1987) Israel J. Math , vol.57 , pp. 137-224
    • Bourgain, J.1    Tzafriri, L.2
  • 3
    • 43149097934 scopus 로고    scopus 로고
    • On a problem of Kadison and Singer, J. Reine Angew. Math. 420 (1991), 1-43.
    • On a problem of Kadison and Singer, J. Reine Angew. Math. 420 (1991), 1-43.
  • 4
    • 0035607466 scopus 로고    scopus 로고
    • Operator Khintchine inequality in non-commutative probability
    • A. Buchholz, Operator Khintchine inequality in non-commutative probability, Math. Ann. 319 (2001), 1-16.
    • (2001) Math. Ann , vol.319 , pp. 1-16
    • Buchholz, A.1
  • 5
    • 33744726904 scopus 로고    scopus 로고
    • E. J. Candès and J. Romberg, Quantitative robust uncertainty principles and optimally sparse decompositions, Found. Comput. Math. 6 (2006). 227-254; errata, ibid. 7 (2007), 529-531.
    • E. J. Candès and J. Romberg, Quantitative robust uncertainty principles and optimally sparse decompositions, Found. Comput. Math. 6 (2006). 227-254; errata, ibid. 7 (2007), 529-531.
  • 6
    • 33144475575 scopus 로고    scopus 로고
    • The Kadison-Singer problem in mathematics and engineering
    • P. G. Casazza and J. C. Tremain, The Kadison-Singer problem in mathematics and engineering, Proc. Nat. Acad. Sci. USA 103 (2006), 2032-2039.
    • (2006) Proc. Nat. Acad. Sci. USA , vol.103 , pp. 2032-2039
    • Casazza, P.G.1    Tremain, J.C.2
  • 7
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    • The best constants in the Khintchine inequality
    • U. Haagerup, The best constants in the Khintchine inequality, Studia Math. 70 (1982), 231-283.
    • (1982) Studia Math , vol.70 , pp. 231-283
    • Haagerup, U.1
  • 8
    • 0011027964 scopus 로고
    • Monotone convergence of binomial probabilities and a generalization of Ramanujan's equation
    • K. Jogdeo and S. M. Samuels, Monotone convergence of binomial probabilities and a generalization of Ramanujan's equation, Ann. Math. Statist. 39 (1968), 1191-1195.
    • (1968) Ann. Math. Statist , vol.39 , pp. 1191-1195
    • Jogdeo, K.1    Samuels, S.M.2
  • 11
    • 0033541884 scopus 로고    scopus 로고
    • Random vectors in the isotropic position
    • M. Rudelson, Random vectors in the isotropic position, J. Funct. Anal. 164 (1999), 60-72.
    • (1999) J. Funct. Anal , vol.164 , pp. 60-72
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  • 12
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    • M. Rudelson and R. Vershynin, Sampling from large matrices: An approach through geometric functional analysis, J. Assoc. Comput. Mach. 54 (2007), no. 4, art 21.
    • M. Rudelson and R. Vershynin, Sampling from large matrices: An approach through geometric functional analysis, J. Assoc. Comput. Mach. 54 (2007), no. 4, art 21.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.