DeSantis, Romano M.; Porter, William A. Operator factorization on partially ordered Hilbert resolution spaces. (English) Zbl 0505.93043 Math. Syst. Theory 16, 67-77 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 7 Documents MSC: 93C25 Control/observation systems in abstract spaces 47A65 Structure theory of linear operators 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators 06A06 Partial orders, general 46C99 Inner product spaces and their generalizations, Hilbert spaces Keywords:operator factorizations; multidimensional systems; orthoprojectors; partially ordered Hilbert resolution space; causality PDFBibTeX XMLCite \textit{R. M. DeSantis} and \textit{W. A. Porter}, Math. Syst. Theory 16, 67--77 (1983; Zbl 0505.93043) Full Text: DOI References: [1] Proceedings of the IEEE,Special Issue on Multidimensional Systems (Ed. Bose) (June 1977) [2] DeSantis, R. M., Saeks, R., and Tung, L. Basic Optimal Estimation and Control Problems in Hilbert Space,Math. Systems Theory, vol. 12, pp. 175–203 (1978) · Zbl 0386.93055 · doi:10.1007/BF01776572 [3] DeSantis, R. M., and Porter, W. A. Optimization Problems in Partially Ordered Hilbert Resolution Spaces,Int. J. Control, 1982 · Zbl 0515.93070 [4] Feintuch, A., Saeks, R.System Theory: A Hilbert Space Approach. Academic Press (1981) · Zbl 0488.93003 [5] Gohberg, I. Z., Krein, M. G.,Theory and Application of Volterra Operators in Hilbert Space (translation) AMS, vol. 4 (1970) · Zbl 0194.43804 [6] Porter, W. A., On Factoring the Polyvariance Operator,Math. System Theory, vol. 13, 4 (1981) · Zbl 0456.93059 [7] Porter, W. A., DeSantis, R. M., Angular Factorization of Matrices, to appear,Math. Analysis and Applications (1982) · Zbl 0488.15009 [8] Saeks, R.Resolution Space Operators and Systems. New York: Springer-Verlag, 1973. · Zbl 0259.49001 [9] Special Mini-Issue on Image Processing,IEEE Transactions on Automatic Control (October 1978) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.