Altogether Orlicz published 171 mathematical papers, about half of them in cooperation with several authors. He was the supervisor of 39 doctoral dissertations and over 500 master's theses. He was invited to universities in Canada, China, Germany and Israel. Orlicz is also a co-author of two school textbooks. In 1956 Orlicz was elected a corresponding-member of the Polish Academy of Sciences and in 1961 its full member.
L are a natural generalization of L p spaces.
Orlicz's ideas have inspired the research of many mathematicians. In recent decades those spaces have been used in analysis, constructive theory of functions, differential equations, integral equations, probability, mathematical statistics, etc. For example, the Orlicz-Pettis theorem says that in Banach spaces the classes of weakly subseries convergent and norm unconditionally convergent series coincide. The Lvov School of Mathematics between the Wars , Wiadom. It is a real pity that he did not finish this project.