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Displaying similar documents to “ ( r , p ) -absolutely summing operators on the space C ( T , X ) and applications.”

Factorization theorem for 1 -summing operators

Irene Ferrando (2011)

Czechoslovak Mathematical Journal

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We study some classes of summing operators between spaces of integrable functions with respect to a vector measure in order to prove a factorization theorem for 1 -summing operators between Banach spaces.

Involutions and semiinvolutions

Hiroyuki Ishibashi (2006)

Czechoslovak Mathematical Journal

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We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.

Self-adjoint differential vector-operators and matrix Hilbert spaces I

Maksim Sokolov (2005)

Open Mathematics

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In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.