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The Paulsen Problem in Hilbert space frame theory has proved to be one of the most intractable problems in the field.
I. Schur, Über eine Klasse von Mittelbildungen mit Anwendungen auf die Determinantentheorie
1923
Earlier work this paper cites.
A. Horn, Doubly stochastic matrices and the diagonal of a rotation matrix
1954
Earlier work this paper cites.
I. C. Gohberg and A. S. Markus, Some relations between eigenvalues and matrix elements of linear operators
1964
Earlier work this paper cites.
R.A. Horn and C.R. Johnson, Matrix analysis
1985
Earlier work this paper cites.
J. H. Conway, R. H. Hardin, N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces
1996
Earlier work this paper cites.
R. Balan, Equivalence relations and distances between Hilbert frames
1999
Earlier work this paper cites.
A. Neumann, An infinite-dimensional version of the Schur-Horn convexity theorem
1999
Earlier work this paper cites.
D. Han and D. Larson, Frames, Bases and Group Representations
2000
Earlier work this paper cites.
A.J.E.M. Janssen, Zak transforms with few zeroes and the tie
2002
Cited alongside, same era.
R. Kadison, The Pythagorean theorem. I. The finite case
2002
Cited alongside, same era.
R. Kadison, The Pythagorean theorem. II. The infinite discrete case
2002
Cited alongside, same era.
P.G. Casazza and J. J. Kovačević, Uniform tight frames with erasures
2003
Cited alongside, same era.
O. Christensen, An Introduction to Frames and Riesz Bases
2003
Cited alongside, same era.
K. Kornelson, D. Larson, Rank-one decomposition of operators and construction of frames
2004
Cited alongside, same era.
P.G. Casazza and M. Leon, Existence and construction of finite tight frames
2006
Later among the works it cites.
J. Antezana, P. Massey, M. Ruiz, D. Stojanoff, The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
2007
Later among the works it cites.
W. Arveson, Diagonals of normal operators with finite spectrum
2007
Later among the works it cites.
P.G. Casazza and G. Kutyniok, A generalization of Gram-Schmidt orthogonalization generating all Parseval frames
2007
Later among the works it cites.
M. Argerami and P. Massey, Towards the Carpenter’s theorem
2009
Later among the works it cites.
B. Bodmann and P.G. Casazza, The road to equal norm Parseval frames
2010
Later among the works it cites.
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2006
Cited alongside, same era.
M. Bownik, J. Jasper, Characterization of sequences of frame norms
Cited in the paper.
P.G. Casazza, M. Fickus and D. Mixon, Auto-tunning unit norm tight frames
Cited in the paper.
J. Jasper, The Schur-Horn theorem for operators with three point spectrum
Cited in the paper.
V. Kaftal and G. Weiss, An infinite dimensional Schur-Horn theorem and majorization theory
Cited in the paper.
P.G. Casazza and M. Leon, Existence and construction of finite frames with a given frame operator
2010
Later among the works it cites.
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