Ian Doust, Byron Walden (1996)
Studia Mathematica
Similarity:
We prove that compact AC-operators have a representation as a combination of disjoint projections which mirrors that for compact normal operators. We also show that unlike arbitrary AC-operators, compact AC-operators admit a unique splitting into real and imaginary parts, and that these parts must necessarily be compact.
J. Janas (1983)
Studia Mathematica
Similarity:
Schmeelk, John, Takaci, Arpad (1992)
Portugaliae mathematica
Similarity:
A. Boulkhemair (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
J. Janas (1988)
Studia Mathematica
Similarity:
S. Kwapień (1968)
Studia Mathematica
Similarity:
Vijay Gupta (1995)
Publicacions Matemàtiques
Similarity:
In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.
Andreas Defant (1990)
Studia Mathematica
Similarity:
Bergamasco, Adalberto P., Petronilho, Gerson (1993)
Portugaliae mathematica
Similarity:
Albrecht Pietsch (1999)
Studia Mathematica
Similarity:
Banach space theory splits into several subtheories. On the one hand, there are an isometric and an isomorphic part; on the other hand, we speak of global and local aspects. While the concepts of isometry and isomorphy are clear, everybody seems to have its own interpretation of what "local theory" means. In this essay we analyze this situation and propose rigorous definitions, which are based on new concepts of local representability of operators.