@article{e0d32281bf804f7d954ef911dae565e6,

title = "Matrix functions with arbitrarily prescribed left and right partial indices",

abstract = "We prove that if n ≥ 2 and ρ, λ are two given vectors in Zn, then there exists a matrix function in L∞n×n(T) which has a rigth Wiener-Hopf factorization in L2 with the partial indices ρ and a left Wiener-Hopf factorization in L2 with the partial indices λ.",

author = "A. B{\"o}ttcher and Grudsky, {S. M.} and Spitkovsky, {I. M.}",

note = "Funding Information: Acknowledgements. The research of BSttcher and Grudsky into this topic was essentially supported by DFG-Kooperationsprojekt 436 RUS 113/426 for German and Russian scientists within the {"}Memorandum of Understanding{"} beween DFG and RFFI. BSttcher and Spitkovsky also acknowledge support by NATO Collaborative Research Grant CRG 950332, Grudsky also acknowledges support by RFFI Grant 98-01-01023, and Spitkovsky also acknowledges support by NSF Grant 9800704.",

year = "2000",

month = jan,

doi = "10.1007/BF01236287",

language = "English (US)",

volume = "36",

pages = "71--91",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "1",

}