Gâteaux derivative and orthogonality in -classes.
Gâteaux derivative and orthogonality in -classes.
Gelfand numbers of operators with values in a Hilbert space.
Generalized derivation modulo the ideal of all compact operators.
Generalized Derivations and Norm Equality in Normed Ideals
2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ideals.
Generalized D-Symmetric Operators I
2000 Mathematics Subject Classification: Primary: 47B47, 47B10; secondary 47A30.Let H be an infinite-dimensional complex Hilbert space and let A, B ∈ L(H), where L(H) is the algebra of operators on H into itself. Let δAB: L(H) → L(H) denote the generalized derivation δAB(X) = AX − XB. This note will initiate a study on the class of pairs (A,B) such that [‾(R(δAB))] = [‾(R(δB*A*))]; i.e. [‾(R(δAB))] is self-adjoint.
Generalized Gram-Hadamard inequality.
Generalized Lions-Peetre methods of constants and means and operator ideals.
We establish results on interpolation of Rosenthal operators, Banach-Saks operators, Asplund operators and weakly compact operators by means of generalized Lions-Peetre methods of constants and means. Applications are presented for the K-method space generated by the Calderón-Lozanovskii space parameters.
Geometric properties of composition operators belonging to Schatten classes.
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Grenzordnungen von Operatorenidealen (I).
Growth of operator valued meromorphic functions.