Učbenik, uvod in pet poglavij, obravnava teorijo omejenih linearnih operatorjav v Banachovih prostorih. V uvodnem poglavju so podani nekateri osnovni rezultati (včasih brez dokazov) iz splošne ...funkcionalne analize. Prvo poglavje govori o rezolventi, funkcijskem računu in o izolirani točki spektra. Drugo poglavje je posvečeno Fredholmovim operatorjem, Rieszovim operatorjem in bistvenemu spektru. Tretje poglavje obravnava obrat analitične operatorske funkcije in perturbacijo spektra. Četrto, najobsežnejše, poglavje je namenjeno spektralnim operatorjam. Govori o hermitskih operatorjih, spektralnih merah, predspektralnih in spektralnih operatorjih in njihovih lastnostih. Obdelani so tudi spektralni operatorji v Hilbertovem prostoru. Zadnje poglavje pa podaja osnovne pojme iz teorije krepko zveznih polgrup. Vsebuje izrek Hille-Yosida, rešitev abstraktne Cauchyjeve naloge in izrek o perturbaciji generatorja z omejenin operatorjem.
Type of material - 2.03
Publication and manufacture - Ljubljana : Društvo matematikov, fizikov in astronomov SR Slovenije, 1982
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