## Pacific Journal of Mathematics, Volume 12, Issues 3-4Pacific Journal of Mathematics, 1962 - Mathematics |

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algebra Amer analytic apply assume Banach space basis boundary bounded called choose circle closed compact complete condition connected consider constant contains continuous converges convex Corollary corresponding curve defined definition denote derivative determined differential direct distribution domain element equal equation equivalent example exists extension fact finite fixed follows function given gives Hence holds ideal implies induced inequality integral interval invariant least Lemma limit linear manifold Math matrix mean multiplication norm normal obtain operator orbit polynomial positive problem projection Proof prove regular relation REMARK representation respect result ring satisfies sequence shown simple ſº solution space subset sufficient Suppose Theorem theory topology transformation UNIVERSITY vector zero