Factorization iterative methodsM-operators andH-operators
نویسندگان
چکیده
منابع مشابه
From torsion theories to closure operators and factorization systems
Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equivalently a full subcategory of 'null objects'. Instances of this extension include closure operators viewed as generalised torsion theories in a 'category of pairs', and factorization systems viewed as torsion theories in a category of morphisms. The first point has essentially been treated in [15].
متن کاملFactorization of Operators on C
Let A be a C∗-algebra. We prove that every absolutely summing operator from A into l2 factors through a Hilbert space operator that belongs to the 4-Schatten-von Neumann class. We also provide finite dimensional examples that show that one can not replace the 4-Schatten-von Neumann class by p-Schatten-von Neumann class for any p < 4. As an application, we show that there exists a modulus of cap...
متن کاملFactorization, Ladder Operators and Isospectral Structures
Using the modified factorization method employed by Mielnik for the harmonic oscillator, we show that isospectral structures associated with a second order operator H, can always be constructed whenever H could be factored, or exist ladder operators for its eigenfunctions. Three examples are shown, and properties like completeness and integrability are discused for the general case.
متن کاملDual Results of Factorization for Operators
We study the duality properties of the well-known DFJP factorization of operators 3] by means of a reenement of it. Given an operator T : X ! Y we consider a decomposition T = jU k , where U : E ! F is an isomorphism, and j , U k are the factors in the DFJP factorization. If T is the conjugate operator of T , and T : X =X ! Y =Y is the operator given by T (x + X) := T x + Y (x 2 X), then we sho...
متن کاملLIZ-FACTORIZATION OF OPERATORS ON lx
Necessary and sufficent conditions are obtained for ¿(/-factorization of operators on /,. In particular it is shown that uniform invertibility of the compressions of the operator is not sufficient to insure an LU-factorization of the operator, thus answering a question of de Boor, Jia, and Pinkus. The question of when a bounded linear operator on lp, 1 < p <, oo, has an Li/-factorization has be...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 1986
ISSN: 0029-599X,0945-3245
DOI: 10.1007/bf01389542