Woman from Another Planet by Frank Belknap Long

David Loring had no way of knowing that he was under observation and that his every movement was being watched. He could not see the lighted tele-communication screen or the cold, alien eyes trained on his image as he inserted the key which Janice had given him into the door of her apartment and stood for an instant motionless, with an angry set to his jaw.

He did not know that an alien electronic pickup device was transmitting his image from an apartment house hallway in Greenwich Village to a hovering flying disk high in the sky. Within the disk the screen glowed brightly and Loring's image was life size. It stood out with a startling, three-dimensional clarity. Not only was the image studied carefully, it was relayed to a dozen other flying disks within a radius of six hundred miles. The eyes that watched were dark and inscrutable, buried in folds of pinkish flesh. They did not blink, but stared steadily and without noticeable animation. Each eye was like a smoky lens, concealing more than it revealed, keeping its many secrets hidden. Each eye was a Sphinx-eye, brooding and unfathomable.