Symmetric norm ideals and relative conjugate ideals

Norberto Salinas

Type: Article

Publication Date: 1974-01-01

Citations: 16

DOI: https://doi.org/10.1090/s0002-9947-1974-0336371-3

Abstract

In this paper some aspects of the algebraic structure of the ring of all bounded linear operators on an infinite dimensional separable complex Hilbert space are discussed. In particular, a comparison criterion for maximal and minimal norm ideals is established. Also, a general notion of the conjugate of an ideal relative to another ideal is studied and some questions concerning joins and intersections of ideals are solved.

Locations

Transactions of the American Mathematical Society - View - PDF

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+	Linear analysis : measure and integral, banach and hilbert space, linear integral equations	1953	Adriaan C. Zaanen
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg
+	Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space	1969	Israel Gohberg M. Г. Крейн
+	FUNCTORS IN CATEGORIES OF BANACH SPACES	1964	Boris Mityagin A. S. Shvart︠s︡
+ PDF Chat	Ideals of compact operators on Hilbert space.	1971	Arlen Brown Carl Pearcy Norberto Salinas
+ PDF Chat	Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation	1949	Hermann Weyl
+	R. Schatten, Norm Ideals of Completely Continuous Operators. (Ergebnisse der Mathematik und ihrer Grenzgebiete, Heft 27). VIII + 81 S. Berlin/Göttingen/Heidelberg 1960. Springer‐Verlag. Preis brosch. DM 23,60	1961	H. Bialy
+	On Ideals of Operators in Hilbert Space	1967	D. J. H. Garling
+	Norm Ideals of Completely Continuous Operators	1960	Robert Schatten
+	Two-Sided Ideals and Congruences in the Ring of Bounded Operators in Hilbert Space	1941	J. W. Calkin