On Schwarz-Pick-Potapov Block Matrices of Matrix-Valued Functions which Belong to the Extended Potapov Class

Analysis (Germany)

Volumn 22, Issue 3, 2002, Pages 243-264

  Fritzsche, Bernd ^a   Kirstein, Bernd ^a   Lasarow, Andreas ^b  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17244383459     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.2002.22.3.243     Document Type: Article

References (12)

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2. Dubovoj, V.K., Fritzsche, B., Kirstein, B.: Matricial Version of the Classical Schur Problem. Teubner- Texte zur Mathematik Bd. 129, Teubner, Stuttgart Leipzig 1992.
3. Efimov, A.V.; Potapov, V.P.: J-expansive matrix-valued functions and their role in the analytic theory of electrical circuits (in Russian), Uspekhi Mat. Nauk 28 (1973), No. 1, 65–130; Russian Math. Surveys 28 (1973), No. 1, 69–140.
4. Fritzsche, B., Fuchs, S., Kirstein, B.: An Inverse entropy optimization problem for matrix-valued CaratheAodory functions. Optimization, 29 (1994), 1- 32.
5. Fritzsche, B., Kirstein, B., Krug, V.: On Arov-normalized jqq-Jq-elementary factors, Linear Algebra Appl. 267 (1997), 11–40.
6. Fritzsche, B.; Kirstein, B.; Lasarow, A.: On rank invariance of moment matrices of nonnegative hermitian-valued Borei measures on the unit circle, submitted
7. Fritzsche, B.; Kirstein, B.; Lasarow, A.: On rank invariance of Schuiarz-Pick-Potapov block matrices of matricial Schur functions, submitted
8. Ginzburg, J.P.: On J-nonexpansive operators in Hilbert space (in Russian), Naucn. Zap. Fiz.-Mat. Fak. Odessk. Gos. Ped. Inst. 22 (1958), 13–20.
9. Kovalishina, I.V.: Analytic theory of a class of interpolation problems (in Russian), Izv. Akad. Nauk SSSR, Ser. Mat. 47 (1983), 455–497.
10. Livsic, M.S. and Potapov, V.P.: A factorization theorem for characteristic matrix-functions, Doklady Akad. Nauk. USSR 72, 4 (1950), 625–628.
11. Potapov, V.P.: The multiplicative structure of J-contractive matrix functions (in Russisch), Trudy Moskov. Mat. Obsc. 4 (1955), 125–236; Englische UUbersetzung in: Amer. Math. Soc. Transi. (2), Vol. 15 (1960), 131–243.
12. Potapov, V.P.: General theorems on the structure and splitting-off of elementary factors of analytic matrix functions (in Russian), Dokl. Akad. Nauk Armyan. SSR, Ser. Mat. 48 (1969), 257–262.