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Operations on Subspaces in Real Unitary Space

Contents - Markun Cs Shinshu U Ac Jp

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OPERATIONS ON SUBSPACES IN REAL UNITARY SPACE 6<br />

REFERENCES<br />

[1] Czesław Byliński. B<strong>in</strong>ary operati<strong>on</strong>s. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/b<strong>in</strong>op_1.html.<br />

[2] Czesław Byliński. Functi<strong>on</strong>s and their basic properties. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/<br />

funct_1.html.<br />

[3] Czesław Byliński. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/<br />

zfmisc_1.html.<br />

[4] Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. <strong>Subspaces</strong> and cosets of subspace of real unitary space. Journal of Formalized<br />

Mathematics, 14, 2002. http://mizar.org/JFM/Vol14/rusub_1.html.<br />

[5] Jan Popiołek. Introducti<strong>on</strong> to Banach and Hilbert spaces — part I. Journal of Formalized Mathematics, 3, 1991. http://mizar.org/<br />

JFM/Vol3/bhsp_1.html.<br />

[6] Andrzej Trybulec. Doma<strong>in</strong>s and their Cartesian products. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/<br />

Vol1/doma<strong>in</strong>_1.html.<br />

[7] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989. http://mizar.org/JFM/<br />

Axiomatics/tarski.html.<br />

[8] Wojciech A. Trybulec. <str<strong>on</strong>g>Operati<strong>on</strong>s</str<strong>on</strong>g> <strong>on</strong> subspaces <strong>in</strong> real l<strong>in</strong>ear space. Journal of Formalized Mathematics, 1, 1989. http://mizar.<br />

org/JFM/Vol1/rlsub_2.html.<br />

[9] Wojciech A. Trybulec. Vectors <strong>in</strong> real l<strong>in</strong>ear space. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/<br />

rlvect_1.html.<br />

[10] Z<strong>in</strong>aida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/subset_1.html.<br />

[11] Edmund Wor<strong>on</strong>owicz. Relati<strong>on</strong>s and their basic properties. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/<br />

Vol1/relat_1.html.<br />

[12] Edmund Wor<strong>on</strong>owicz. Relati<strong>on</strong>s def<strong>in</strong>ed <strong>on</strong> sets. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/<br />

relset_1.html.<br />

[13] Stanisław Żukowski. Introducti<strong>on</strong> to lattice theory. Journal of Formalized Mathematics, 1, 1989. http://mizar.org/JFM/Vol1/<br />

lattices.html.<br />

Received October 9, 2002<br />

Published January 2, 2004

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