TY - JOUR
T1 - Lower upper factorizations of operators with middle terms
AU - Ben-Artzi, A.
AU - Gohberg, I.
PY - 1988/4
Y1 - 1988/4
N2 - In this paper we consider factorizations of the form I - K = (I + K-)(D + F)(I + K+), where K-, K+, and D are lower, upper, and diagonal operators relative to a maximal chain P of orthoprojections in a separable Hilbert space. In the case when K, K-, and K+ are Hilbert-Schmidt, we determine the minimal rank of the operator F which occurs in the middle term of the factorization.
AB - In this paper we consider factorizations of the form I - K = (I + K-)(D + F)(I + K+), where K-, K+, and D are lower, upper, and diagonal operators relative to a maximal chain P of orthoprojections in a separable Hilbert space. In the case when K, K-, and K+ are Hilbert-Schmidt, we determine the minimal rank of the operator F which occurs in the middle term of the factorization.
UR - https://www.scopus.com/pages/publications/45449126115
U2 - 10.1016/0022-1236(88)90089-4
DO - 10.1016/0022-1236(88)90089-4
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:45449126115
SN - 0022-1236
VL - 77
SP - 309
EP - 325
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -