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On interpolation by analytic maps in infinite dimensionsGlobevnik, Josip, 1945-Naj bo ▫$A$▫ kompleksna Banachova algebra vseh omejenih zveznih kompleksnih funkcij na zaprti enotni krogli kompleksnega Banachovega prostora ▫$X$▫, ki so analitične na odprti enotni krogli, s sup ... normo. Za razred prostorov ▫$X$▫, ki vsebuje vse neskončno dimenzionalne kompleksne refleksivne prostore, dokažemo eksistenco nekompaktnih peak interpolacijskih množic za ▫$A$▫. V zvezi s tem dokažemo nekaj interpolacijskih izrekov za vektorske funkcije in prikažemo njihovo uporabo pri študiju zalog vrednosti analitičnih preslikav med Banachovimi prostori. Pokažemo tudi, da ne obstajajo peak interpolacijske množice za ▫$A$▫ v splošnem primeru.Source: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (Letn. 15, št. 13, 1977, str. 25-44)Type of material - article, component partPublish date - 1978Language - englishCOBISS.SI-ID - 7294809
Author
Globevnik, Josip, 1945-
Topics
matematika |
funkcionalna analiza |
kompleksna analiza |
teorija analitičnih funkcij |
interpolacija |
peak interpolacijske množice |
analitične preslikave |
mathematics |
functional analysis |
complex analysis |
analytic functions |
interpolation |
peak interpolation sets |
analytic maps
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source: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (Letn. 15, št. 13, 1977, str. 25-44)
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