### Some properties of Banach-valued sequence spaces ${\ell}_{p}\left[X\right]$.

Bu, Qingying (2001)

International Journal of Mathematics and Mathematical Sciences

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Bu, Qingying (2001)

International Journal of Mathematics and Mathematical Sciences

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El-Shobaky, Entisarat, Ali, Sahar Mohammed, Takahashi, Wataru (2001)

Abstract and Applied Analysis

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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.

Delgado, J.M., Piñeiro, C. (2002)

International Journal of Mathematics and Mathematical Sciences

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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.

Ujević, Nenad (2004)

The New York Journal of Mathematics [electronic only]

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Daws, Matthew (2007)

The New York Journal of Mathematics [electronic only]

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Chatfield, J.A. (1978)

International Journal of Mathematics and Mathematical Sciences

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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.