I Want to be a Mathematician: An Automathography in Three PartsThis is a book of aspirations fulfilled, those of the author and his colleagues. It tells us what it is to be a mathematician and to do mathematics. It will be read with interest and enjoyment by those in mathematics and by those who might want to know what mathematicians and mathematical careers are like. Halmos, mathematician and expositor, has contributed much to ergodic theory, algebraic logic, operator theory, and the mathematical literature in general. -- from back cover. |
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Page 22
... vector space contain the same number of vectors . The following definition now makes sense , since the number of vectors in a ( finite ) basis does not depend on the choice of basis . A vector space V is called finite - dimensional if ...
... vector space contain the same number of vectors . The following definition now makes sense , since the number of vectors in a ( finite ) basis does not depend on the choice of basis . A vector space V is called finite - dimensional if ...
Page 41
... vector space, and if a. and y are in U, is it true that a (3) y = y 3 a.” 5. (a) Suppose that 'U is a finite-dimensional real vector space, and let 'u be the set Q of all complex numbers regarded as a (two-dimensional) real vector space ...
... vector space, and if a. and y are in U, is it true that a (3) y = y 3 a.” 5. (a) Suppose that 'U is a finite-dimensional real vector space, and let 'u be the set Q of all complex numbers regarded as a (two-dimensional) real vector space ...
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... vector space L, there is a neighborhood V of 0 that is convex. Theorem 5.12. Any polyhyperseminormed vector space L with a system Q of hyperseminorms is a locally convex semitopological vector space. Proof. By Theorem 5.11, L is a ...
... vector space L, there is a neighborhood V of 0 that is convex. Theorem 5.12. Any polyhyperseminormed vector space L with a system Q of hyperseminorms is a locally convex semitopological vector space. Proof. By Theorem 5.11, L is a ...
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