@article{e2d8a09d5e26484c9398931eb77e1df1,
title = "Maximum robustness and surgery of frames in finite dimensions",
abstract = "We consider frames in a finite-dimensional Hilbert space Hn where frames are exactly the spanning sets of the vector space. We present a method to determine the maximum robustness of a frame. We present results on tight subframes and surgery of frames. We also answer the question of when length surgery resulting in a tight frame set for Hn is possible.",
keywords = "Diagram vectors, Erasures, Frames, Gramian operator, Length surgery, Redundancy, Robustness, Subframes, Surgery, Tight frames",
author = "Copenhaver, {Martin S.} and Kim, {Yeon Hyang} and Cortney Logan and Kyanne Mayfield and Narayan, {Sivaram K.} and Jonathan Sheperd",
note = "Funding Information: Copenhaver, Logan, Mayfield, Narayan, and Sheperd were supported by the NSF-REU Grant DMS 08-51321. Kim was supported by the Central Michigan University ORSP Early Career Investigator (ECI) grant #C61373. The authors thank M. Petro and the referee for their valuable comments. Funding Information: Research supported by NSF-REU Grant DMS 08-51321. This work was done as a part of the REU program in Summer 2011. Corresponding author. E-mail addresses: copenhaver@gatech.edu (M.S. Copenhaver), kim4y@cmich.edu (Y.H. Kim), logan.cort@gmail.com (C. Logan), mayfield13@up.edu (K. Mayfield), sivaram.narayan@cmich.edu (S.K. Narayan), jsheperd@nd.edu (J. Sheperd).",
year = "2013",
month = sep,
day = "1",
doi = "10.1016/j.laa.2013.04.016",
language = "English",
volume = "439",
pages = "1330--1339",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Linear Algebra and its Applications",
number = "5",
}