Oblique projections and frames

被引：9

作者：

Antezana, J ^{[1
]}

Corach, G

Ruiz, M

Stojanoff, D

机构：

[1] Consejo Nacl Invest Cient & Tecn, IAM, La Plata, Argentina

[2] UNLP, FCE, Dept Matemat, La Plata, Argentina

[3] Consejo Nacl Invest Cient & Tecn, IAM, RA-1083 Ciudad Autonoma, Buenos Aires, Argentina

[4] FI UBA, Dept Matemat, RA-1083 Ciudad Autonoma, Buenos Aires, Argentina

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 04期

关键词：

Frames; Oblique projections;

D O I：

10.1090/S0002-9939-05-08143-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess and frame bounds 1 <= A <= B are of this type. This gives a generalization of a result of Han and Larson which only holds for normalized tight frames.

引用

页码：1031 / 1037

页数：7

共 50 条

[31] ADVANTAGES OF MODIFIED OBLIQUE CARDIAC MRI PROJECTIONS
GANZ, WI
SERAFINI, A
GENTILI, A
[J]. JOURNAL OF NUCLEAR MEDICINE, 1986, 27 (11) : 1796 - 1796
[32] PHARYNX - VALUE OF OBLIQUE PROJECTIONS FOR RADIOGRAPHIC EXAMINATION
TAYLOR, AJ
DODDS, WJ
STEWART, ET
[J]. RADIOLOGY, 1991, 178 (01) : 59 - 61
[33] Polarization filtering technique based on oblique projections
ZHANG QinYu ?
[J]. Science China(Information Sciences), 2010, 53 (05) : 1056 - 1066
[34] Alternating oblique projections for coupled linear systems
Hernández-Ramos, L
[J]. NUMERICAL ALGORITHMS, 2005, 38 (04) : 285 - 303
[35] Sard's approximation processes and oblique projections
Corach, G.
Giribet, J. I.
Maestripieri, A.
[J]. STUDIA MATHEMATICA, 2009, 194 (01) : 65 - 80
[36] The many proofs of an identity on the norm of oblique projections
Szyld, Daniel B.
[J]. NUMERICAL ALGORITHMS, 2006, 42 (3-4) : 309 - 323
[37] Cycle/Cocycle Oblique Projections on Oriented Graphs
Matteo Polettini
[J]. Letters in Mathematical Physics, 2015, 105 : 89 - 107
[38] Joint channel and symbol estimation by oblique projections
Yu, X
Tong, L
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (12) : 3074 - 3083
[39] Cycle/Cocycle Oblique Projections on Oriented Graphs
Polettini, Matteo
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2015, 105 (01) : 89 - 107
[40] Implicit regularization of the incomplete oblique projections method
Scolnik, H. D.
Echebest, N. E.
Guardarucci, M. T.
[J]. INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, 2009, 16 (04) : 525 - 546

← 1 2 3 4 5 →