# Władysław Orlicz

Polish mathematician

## Władysław Orlicz's AcademicInfluence.com Rankings

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Mathematics

## Why Is Władysław Orlicz Influential?

(Suggest an Edit or Addition)According to Wikipedia, Władysław Roman Orlicz was a Polish mathematician of Lwów School of Mathematics. His main interests were functional analysis and topology: Orlicz spaces are named after him. Education and career Orlicz was the third of Franciszek and Maria Orlicz's five children. His youngest brother died in the Polish-Soviet War, the eldest perished in the Stutthof concentration camp. The other brothers also became professors. The family moved several times. Orlicz attended school in Tarnów, Znojmo, and Lviv, where he finished school in 1920 and began studying mathematics at the Lviv Polytechnic University. He studied with Hugo Steinhaus, Antoni Łomnicki and Stanisław Ruziewicz, among others. As early as 1923 he took on small tasks at the Faculty of Mathematics. On August 1, 1925 he became a junior assistant at the Jan Kazimierz University in Lemberg . He published his first scientific work in 1926 at the age of 23. In 1928 he completed his dissertation on the theory of orthogonal sequences. In 1929 he went to University of Göttingen on a scholarship and returned to Lemberg in 1930 as a senior assistant. In 1934 he presented his habilitation thesis The investigations of orthogonal systems. The following year he became an assistant professor at the Lviv Polytechnic University and received his teaching license at the University of Lviv. In 1937, he became an associate professor at the University of Poznań.

## Władysław Orlicz's Published Works

### Published Works

- Über konjugierte Exponentenfolgen (1931) (431)
- On modular spaces (1959) (399)
- Über die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen (1931) (177)
- On generalized variations (I) (1959) (171)
- Grundlegende Eigenschaften der polynomischen Operationen. Erste Mitteilung (1934) (137)
- On some classes of linear spaces (1958) (65)
- On some classes of functions with regard to their orders of growth (1965) (64)
- Über unbedingte Konvergenz in Funktionenraümen (I) (1933) (64)
- Beiträge zur Theorie der Orthogonalentwicklungen II (63)
- On some properties of functions of generalized variation (1987) (62)
- Composing functions of bounded -variation (1986) (48)
- On linear methods of summability (1954) (48)
- A note on the theory of s-normed spaces of φ-integrable functions (1961) (39)
- Über Folgen linearer Operationen (1933) (38)
- Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y) (1956) (36)
- Über die Divergenz von allgemeinen Orthogonalreihen (1933) (26)
- Analytic operations in real Banach spaces (1953) (23)
- Linear functional analysis (1992) (19)
- Linear operations in Saks spaces (I) (1950) (18)
- On a class of operations over the space of integrable functions (1954) (14)
- Some remarks on the convergence of functionals on bases (1958) (11)
- Ein Satz über die Erweiterung von linearen Operationen (1934) (11)
- Über Approximation im Mittel (9)
- On analytic vector-valued functions of a real variable (1951) (9)
- Remarks on Riemann-integration of vector-valued functions (1951) (9)
- On a class of asymptotically divergent sequences of functions (1951) (8)
- Über Folgen linearer Operationen, die von einem Parameter abhängen (1934) (7)
- Inclusion theorems for classes of functions of generalized bounded variations (1984) (7)
- Über k-fach monotone Folgen (1936) (7)
- On a class of operations over the space of continuous vector valued functions (1954) (6)
- On the structure of $L_{φ}$-solution sets of integral equations in Banach spaces (1984) (6)
- Consistency theorems for Banach space analogues of Toeplitzian methods of summability (1959) (6)
- Some remarks on Saks spaces (1957) (5)
- On summability of double sequences (I) (1955) (5)
- On functions of finite variation, depending on a parameter (1953) (4)
- Generic properties of infinite system of integral equations in Banach spaces (1981) (4)
- On a theorem of C. Carathéodory (1955) (3)
- Absolute continuity of vector-valued finitely additive set functions, I (1968) (3)
- On modular spaces of strongly summable sequences (1962) (3)
- On some spaces of strongly summable sequences (1963) (3)
- Einige Gegenbeispiele zur Konvergenztheorie der allgemeinen Orthogonalentwicklungen (1936) (2)
- On the continuity of linear operations in Saks spaces with an application to the theory of summability (1957) (2)
- Einige Bemerkungen über die Divergenzpunktmengen von Orthogonalentwicklungen (2)
- On some classes of modular spaces (1966) (1)
- Functions of Bounded φ-Variation and Some Related Operators (1985) (1)
- Eine Bemerkung über Divergenzphänomene von Orthogonalentwicklungen (1)
- Contribution to the theory of Saks spaces (1957) (1)
- On the Riesz-Fischer theorem for vector-valued functions (1972) (1)
- EXAMPLES OF B-SPACES AND F-SPACES (1992) (0)
- SOME PRELIMINARIES IN FUNCTIONAL ANALYSIS (1992) (0)
- ON THE CONTINUITY OF OPERATORS: VARIOUS THEOREMS ON OPERATOR SEQUENCES (1992) (0)
- SEVERAL REMARKS ON DIFFERENT STRUCTURES OF SPACES OF DIFFERENT KINDS (1992) (0)
- Linear functionals over the space of functions continuous in an open interval (1956) (0)
- A UNIFIED APPROACH OF VARIOUS USEFUL B-SPACES AND F-SPACES (1992) (0)
- SOME APPLICATIONS ON SUMMABILITY THEORY AND BI-ORTHOGONAL EXPANSIONS (1992) (0)
- On the convergence of functionals representable as integrals over some classes of bounded functions (1953) (0)
- CONJUGATE SPACES OF SPACES OF VARIOUS TYPES (1992) (0)
- EQUIVALENT NORMS, ISOMORPHISM AND ISOMETRY OF SPACES (1992) (0)
- LINEAR FUNCTIONALS ON B-SPACES AND B0-SPACES (1992) (0)
- Subseries convergence in the space of functions of bounded φ-variation (1985) (0)
- SEVERAL THEOREMS ON WEAK CONVERGENCE IN B-SPACES AND B0-SPACES: SEVERAL APPLICATIONS OF THE SEPARATION THEOREMS (1992) (0)
- Modulus of continuity of a set function and some of its applications (1975) (0)
- Über gewisse Klassen von Modularraümen (1962) (0)
- NORMED SPACES INDUCED BY GIVEN SPACES (1992) (0)
- UNCONDITIONAL AND ABSOLUTE CONVERGENCE OF SERIES OF ELEMENTS (1992) (0)
- TOPOLOGICAL LINEAR SPACES AND VARIOUS CONCEPTS OF CONVERGENCE (1992) (0)

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