Let Y be a subspace of space Х. a 1) Let ß be a basis for X and B' = {Y N G,G E ß}, show that B' basis for Y. 2) Let ô be a sub basis for X and 8' = {Y n M, M E 8}, show that d'is a sub basi basis for...

Let Y be a subspace of<br>space<br>Х.<br>a<br>1) Let ß be a basis for X and B' = {Y N G,G E ß}, show that B' basis for Y.<br>2) Let ô be a sub basis for X and 8' = {Y n M, M E 8}, show that d'is a sub basi<br>basis for a space Y.<br>3) Let a E Y and Ba be a local basis at a in X Ba = {Y n N,N E Ba}, show that<br>Ba' is locally basis in Y.<br>

Extracted text: Let Y be a subspace of space Х. a 1) Let ß be a basis for X and B' = {Y N G,G E ß}, show that B' basis for Y. 2) Let ô be a sub basis for X and 8' = {Y n M, M E 8}, show that d'is a sub basi basis for a space Y. 3) Let a E Y and Ba be a local basis at a in X Ba = {Y n N,N E Ba}, show that Ba' is locally basis in Y.

Jun 05, 2022

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Let Y be a subspace of space Х. a 1) Let ß be a basis for X and B' = {Y N G,G E ß}, show that B' basis for Y. 2) Let ô be a sub basis for X and 8' = {Y n M, M E 8}, show that d'is a sub basi basis for...

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