Domains of τ -Holomorphy On a Banach Space

Cover Domains of τ -Holomorphy On a Banach Space
Domains of τ -Holomorphy On a Banach Space
Livadas, Panos E
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2.1. Let M be a complex analytic manifold, lit x and y be two point* o & M. Choo*e n + 1 point* Pq,P-j, p„,...,p ot= 7 We denote by d\,(x,tf) £ne Infimum, taken oven all po**lble choice* o£ the. point* fo/}/_ 7 ,{6^}^. J ' ^^xX? and ma PP+- n 9* {&-} n -_1 *atl*^ylnq (II. 4), 0^ ike nambe^-6 obtained -en (II. 5) The function obtained from the above definition has the following properties.
THEOREM II. 2. 2. Let M be. a complex analytic Banach manifold.
The. function d^: M*M ■* R defined by [x,y]
... + d^[x,y) l& a p*eudo distance on M.
PROOF: Consider two points x and y in M.


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