Results 281 to 290 of about 181,839 (320)
Some of the next articles are maybe not open access.
Finite rank operators with large trace
Israel Journal of Mathematics, 1985The identity operator on an n-dimensional space E is an ''exposed'' point of the unit ball of the space L(E) of all bounded operators on E. More precisely, the identity operator \(I_ E\) is the only operator u such that tr u\(=n\) and \(\| u\| \leq 1\) [cf. \textit{D. Garling}, Proc. Cambridge Philos. Soc. 76, 413-414 (1974; Zbl 0286.47020)].
Lewis, D. R., Smith, R. R.
openaire +2 more sources
2000
This chapter is of a preliminary character. Here we accumulate results about the traces of finite rank operators as well as the determinants of operators of the form I + F, where F is an operator of finite rank Also, various formulas of trace and determinant are presented for operators of the form mentioned above.
Israel Gohberg +2 more
openaire +1 more source
This chapter is of a preliminary character. Here we accumulate results about the traces of finite rank operators as well as the determinants of operators of the form I + F, where F is an operator of finite rank Also, various formulas of trace and determinant are presented for operators of the form mentioned above.
Israel Gohberg +2 more
openaire +1 more source
Finite Rank Operators in Certain Algebras
Canadian Mathematical Bulletin, 1999AbstractLet Alg(ℒ) be the algebra of all bounded linear operators on a normed linear space X leaving invariant each member of the complete lattice of closed subspaces L. We discuss when the subalgebra of finite rank operators in Alg(ℒ) is non-zero, and give an example which shows this subalgebra may be zero even for finite lattices.
openaire +1 more source
Finite rank intermediate Hankel operators
Archiv der Mathematik, 1996The paper is devoted to transfer the results of \textit{S. Janson} and \textit{R. Rochberg} [J. Operator Theory 29, No. 1, 137-155 (1993)] and \textit{L. Peng, R. Rochberg} and \textit{Z. Wu} [Stud. Math. 102, No. 1, 57-75 (1992; Zbl 0809.30008)] concerning the intermediate Hankel operators on Bergmann space on the intermediate operators of finite rank.
openaire +2 more sources
Complex C1C2 symmetric and finite rank operators
Journal of Interdisciplinary Mathematics, 2023An operator A in B(H) is called complex C1C2-symmetric if E two antilinear, isometric and involution C1, C2 such that C1A = A* C2 (A=C1A*C2). In this paper, we shows that when the rank one operator become C1C2-symmetirc operators. Moreover, we show that the compact operator is C1C2 -symmetric operator.
Shireen O. Dakheel, Buthainah A. Ahmed
openaire +1 more source
Finite rank perturbations of complex symmetric operators
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zouheir Amara, Mourad Oudghiri
openaire +2 more sources
On finite rank operators in CSL algebras III
Applied Mathematics-A Journal of Chinese Universities, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Peixin, Lu, Shijie, Tao, Changli
openaire +1 more source
Finite Rank Perturbations of Toeplitz Operators
Integral Equations and Operator Theory, 2007We study finite rank perturbations of the Brown-Halmos type results involving products of Toeplitz operators acting on the Bergman space.
openaire +1 more source
Algebraic Properties. Operators of Finite Rank
1985Exercise 1. For finite-dimensional vector spaces the notion of Fredholm operator is empty, since then every linear map is a Fredholm operator. Moreover, the index no longer depends on the explicit form of the map, but only on the dimensions of the vector spaces between which it operates.
B. Booss, D. D. Bleecker
openaire +1 more source
On finite rank operators in CSL algebras II
Acta Mathematica Sinica, 1997Summary: For finite rank operators in a commutative subspace lattice algebra \(\text{alg }{\mathcal L}\), we introduce the concept of correlation matrices, basing on which we prove that a finite rank operator in \(\text{alg }{\mathcal L}\) can be written as a finite sum of rank-one operators in \(\text{alg }{\mathcal L}\), if it has only finitely many ...
openaire +1 more source