Rogosinski, W. W. On finite systems of linear equations with an infinity of unknowns. (English) Zbl 0064.37104 Math. Z. 63, 97-108 (1955). Seien \( a_{i} \) aus einem normierten Raum und Zahlen \( C_{i} \) gegeben \( (i=1, \ldots, n) \). Gefragt wird nach den minimalen \( B \) (d. h. \( \|B\|= \) Minimum) aus dem dualen Raum mit \( B\left(a_{i}\right)=C_{i} \). Die Untersuchungen des Verf. beziehen sich hauptsächlich auf den Raum \( l^{p} \) (Folgenraum) und \( c \) (konvergente Folgen \( x_{y} \) mit \( \sup _{n}\left|x_{n}\right| \) als Norm). This review text is based on a scanned copy of the printed version. It was converted to LaTeX using MathPix and a specifically developed LLM to assign the text parts to the metadata. It may contain errors, misassignments, or gaps; in particular, the reviewer signature has not yet been extracted reliably in general. If you notice any errors, please report them directly to our editorial team via the Contact Form. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents Keywords:functional analysis × Cite Format Result Cite Review PDF Full Text: DOI EuDML Geodesic References: [1] Banach, S.: Théorie des opérations linéaires. Warszawa 1932. [2] Bohnenblust, H. F., andA. Sobczyk: Extensions of functionals on complex linear spaces. Bull. Amer. Math. Soc.44, 91-93 (1938). · Zbl 0018.36505 · doi:10.1090/S0002-9904-1938-06691-8 [3] Riesz, F.: Les systèmes d’équations linéaires à une infinité d’inconnues. Paris 1913. · JFM 44.0401.01 [4] Riesz, F., andB. Sz-Nagy: Leçons d’analyse fonctionelle. Budapest 1952. [5] Rogosinski, W. W., u.H. S. Shapiro: On certain extremum problems for analytic functions. Acta Math.90, 287-318 (1953). · Zbl 0051.05604 · doi:10.1007/BF02392438 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.